Edit Profile Liberti, Leo Compute Distance To: Compute Author ID: liberti.leo Published as: Liberti, L.; Liberti, Leo External Links: MGP · Wikidata Documents Indexed: 145 Publications since 1999, including 9 Books all top 5 Co-Authors 17 single-authored 37 Lavor, Carlile Campos 21 Maculan, Nelson F. 16 Mucherino, Antonio 15 D’Ambrosio, Claudia 10 Lee, Jon 9 Poirion, Pierre-Louis 8 Nannicini, Giacomo 7 Cafieri, Sonia 7 Hansen, Pierre 7 Maffioli, Francesco 7 Vu, Ky Khac 6 Belotti, Pietro 5 Amaldi, Edoardo 4 Alencar, Jorge 4 Gonçalves, Douglas Soares 4 Marinelli, Fabrizio 4 Toubaline, Sonia 3 Aloise, Daniel 3 Costa, Alberto L. C. 3 Delling, Daniel 3 Dias, Gustavo Fruet 3 Faigle, Ulrich 3 Frangioni, Antonio 3 Kucherenko, Sergei 3 Lodi, Andrea 3 Wiegele, Angelika 2 Abud, Germano 2 Alizadeh, Farid 2 Baptiste, Philippe 2 Bardiaux, Benjamin 2 Bettinelli, Andrea 2 Cornuéjols, Gérard P. 2 Dhyani, Kanika 2 Fischetti, Matteo 2 Kirchler, Dominik 2 Krislock, Nathan 2 Krob, Daniel 2 Leconte, Jeremy 2 Leroux, Stéphane 2 Malliavin, Thérèse E. 2 Marchant, Thierry 2 Martello, Silvano 2 Masson, Benoît 2 Miller, Andrew J. 2 Nilges, Michael 2 Pantelides, Constantinos C. 2 Pickl, Stefan Wolfgang 2 Raimondi, Franco 2 Sager, Sebastian 2 Savourey, David 2 Schultes, Dominik 2 Wolfler Calvo, Roberto 2 Worley, Bradley 1 Alfandari, Laurent 1 Aloise, Dario José 1 Barbier, Gilles 1 Bauguion, Pierre-olivier 1 Beeker, Nathanael 1 Bonami, Pierre 1 Bonates, Tibérius O. 1 Bruglieri, Maurizio 1 Caporossi, Gilles 1 Carvalho, Luiz Mariano 1 Cassioli, Andrea 1 Cerulli, Martina 1 Cordier, Florence 1 Dalkiran, Evrim 1 Delhommel, Florent 1 Donald, Bruce Randall 1 Fernandes, Isaac F. 1 Fidalgo, Felipe 1 Firer, Marcelo 1 Furini, Fabio 1 Gaubert, Stéphane 1 Gleixner, Ambros M. 1 Glusa, Christian 1 Goubault, Eric 1 Gould, Nick I. M. 1 Günlük, Oktay 1 Hamadi, Youssef 1 Hijazi, Hassan 1 John, Audrey Lee-St. 1 Jost, Vincent 1 Kaibel, Volker 1 Karamanov, Miroslav 1 Kushnarev, Sergey 1 Ky, Vu Khac 1 Lodwick, Weldon Alexander 1 Margot, François 1 Martínez, José Mario 1 Mencarelli, Luca 1 Mendonça da Costa, Tiago 1 Messine, Frédéric 1 Misener, Ruth 1 Mittelmann, Hans Detlef 1 Mladenović, Nenad 1 Nascimento, Marco Antonio Chaer 1 Nogareède, Bertrand 1 Ostrowski, James P. 1 Ovsjanikov, Maks ...and 26 more Co-Authors all top 5 Serials 16 Discrete Applied Mathematics 13 Journal of Global Optimization 9 International Transactions in Operational Research 7 Optimization Letters 6 Mathematical Programming. Series A. Series B 3 Operations Research Letters 3 Annals of Operations Research 3 Computational Optimization and Applications 3 Oberwolfach Reports 2 Networks 2 Computers & Operations Research 2 Top 2 Mathematical Methods of Operations Research 2 Journal of Combinatorial Optimization 2 RAIRO. Operations Research 2 4OR 2 Mathematical Programming Computation 1 Journal of Computer and System Sciences 1 Mathematics of Operations Research 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Discrete & Computational Geometry 1 COMPEL 1 Mathematica Balkanica. New Series 1 YUJOR. Yugoslav Journal of Operations Research 1 European Journal of Operational Research 1 SIAM Review 1 Optimization Methods & Software 1 Optimization and Engineering 1 Journal of Systems Science and Complexity 1 ACM Journal of Experimental Algorithmics 1 Computational Management Science 1 Discrete Optimization 1 Nonconvex Optimization and Its Applications 1 Electronic Notes in Discrete Mathematics 1 EURO Journal on Computational Optimization 1 OASIcs – OpenAccess Series in Informatics 1 Springer Undergraduate Texts in Mathematics and Technology 1 SpringerBriefs in Computer Science all top 5 Fields 116 Operations research, mathematical programming (90-XX) 29 Combinatorics (05-XX) 18 Computer science (68-XX) 17 Biology and other natural sciences (92-XX) 15 Geometry (51-XX) 14 General and overarching topics; collections (00-XX) 8 Convex and discrete geometry (52-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Numerical analysis (65-XX) 3 Probability theory and stochastic processes (60-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Statistics (62-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 109 Publications have been cited 1,124 times in 479 Documents Cited by ▼ Year ▼ Branching and bounds tightening techniques for non-connvex MINLP. Zbl 1179.90237Belotti, Pietro; Lee, Jon; Liberti, Leo; Margot, François; Wächter, Andreas 149 2009 Euclidean distance geometry and applications. Zbl 1292.51010Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Mucherino, Antonio 73 2014 The discretizable molecular distance geometry problem. Zbl 1259.90153Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio 38 2012 A branch-and-prune algorithm for the molecular distance geometry problem. Zbl 1136.92037Liberti, Leo; Lavor, Carlile; Maculan, Nelson 38 2008 The interval branch-and-prune algorithm for the discretizable molecular distance geometry problem with inexact distances. Zbl 1272.90074Lavor, Carlile; Liberti, Leo; Mucherino, Antonio 36 2013 Molecular distance geometry methods: from continuous to discrete. Zbl 1219.90177Liberti, Leo; Lavor, Carlile; Mucherino, Antonio; Maculan, Nelson 33 2011 An exact reformulation algorithm for large nonconvex nLPs involving bilinear terms. Zbl 1131.90045Liberti, Leo; Pantelides, Constantinos C. 33 2006 Convex envelopes of monomials of odd degree. Zbl 1030.90117Liberti, Leo; Pantelides, Constantinos C. 31 2003 The discretizable distance geometry problem. Zbl 1258.90100Mucherino, A.; Lavor, C.; Liberti, L. 25 2012 Recent advances on the discretizable molecular distance geometry problem. Zbl 1253.05132Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio 23 2012 A storm of feasibility pumps for nonconvex MINLP. Zbl 1257.90056D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo; Lodi, Andrea 23 2012 On the number of realizations of certain Henneberg graphs arising in protein conformation. Zbl 1288.05121Liberti, Leo; Masson, Benoît; Lee, Jon; Lavor, Carlile; Mucherino, Antonio 21 2014 Discretization orders for distance geometry problems. Zbl 1258.90096Lavor, Carlile; Lee, Jon; John, Audrey Lee-St.; Liberti, Leo 21 2012 Reformulations in mathematical programming: automatic symmetry detection and exploitation. Zbl 1235.90103Liberti, Leo 21 2012 Distance geometry. Theory, methods, and applications. Zbl 1256.51002Mucherino, Antonio (ed.); Lavor, Carlile (ed.); Liberti, Leo (ed.); Maculan, Nelson (ed.) 20 2013 Reformulations in mathematical programming: Definitions and systematics. Zbl 1158.90390Liberti, Leo 20 2009 Computational experience with the molecular distance geometry problem. Zbl 1129.90389Lavor, Carlile; Liberti, Leo; Maculan, Nelson 20 2006 Writing global optimization software. Zbl 1100.90004Liberti, Leo 20 2006 Global optimization. From theory to implementation. Zbl 1087.90005Liberti, Leo (ed.); Maculan, Nelson (ed.) 18 2006 Discretization vertex orders in distance geometry. Zbl 1321.05029Cassioli, Andrea; Günlük, Oktay; Lavor, Carlile; Liberti, Leo 17 2015 A recipe for finding good solutions to MINLPs. Zbl 1276.90041Liberti, Leo; Mladenović, Nenad; Nannicini, Giacomo 17 2011 Double variable neighbourhood search with smoothing for the molecular distance geometry problem. Zbl 1169.90470Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Marinelli, Fabrizio 17 2009 On convex relaxations of quadrilinear terms. Zbl 1202.90236Cafieri, Sonia; Lee, Jon; Liberti, Leo 16 2010 Six mathematical gems from the history of distance geometry. Zbl 1362.51002Liberti, Leo; Lavor, Carlile 14 2016 On the computation of protein backbones by using artificial backbones of hydrogens. Zbl 1219.90209Lavor, C.; Mucherino, A.; Liberti, L.; Maculan, N. 14 2011 An improved column generation algorithm for minimum sum-of-squares clustering. Zbl 1236.90095Aloise, Daniel; Hansen, Pierre; Liberti, Leo 13 2012 Recent advances on the interval distance geometry problem. Zbl 1382.90084Gonçalves, Douglas S.; Mucherino, Antonio; Lavor, Carlile; Liberti, Leo 11 2017 Euclidean distance geometry. An introduction. Zbl 06738024Liberti, Leo; Lavor, Carlile 11 2017 Reduced RLT representations for nonconvex polynomial programming problems. Zbl 1244.90185Sherali, Hanif D.; Dalkiran, Evrim; Liberti, Leo 11 2012 Feasibility-based bounds tightening via fixed points. Zbl 1311.90189Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo 11 2010 The discretizable molecular distance geometry problem seems easier on proteins. Zbl 1366.92094Liberti, Leo; Lavor, Carlile; Mucherino, Antonio 10 2013 MD-jeep: an implementation of a branch and prune algorithm for distance geometry problems. Zbl 1294.68144Mucherino, Antonio; Liberti, Leo; Lavor, Carlile 10 2010 On interval-subgradient and no-good cuts. Zbl 1202.90238D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo; Lodi, Andrea 9 2010 On the impact of symmetry-breaking constraints on spatial branch-and-bound for circle packing in a square. Zbl 1262.90143Costa, Alberto; Hansen, Pierre; Liberti, Leo 8 2013 On the definition of artificial backbones for the discretizable molecular distance geometry problem. Zbl 1190.92009Mucherino, Antonio; Lavor, Carlile; Liberti, Leo; Maculan, Nelson 8 2009 Compact linearization for binary quadratic problems. Zbl 1211.90154Liberti, Leo 8 2007 Reduction constraints for the global optimization of NLPs. Zbl 1057.90043Liberti, Leo 8 2004 An introduction to distance geometry applied to molecular geometry. Zbl 1403.92001Lavor, Carlile; Liberti, Leo; Lodwick, Weldon A.; Mendonça da Costa, Tiago 7 2017 Counting the number of solutions of \(^{\mathrm{K}}\)DMDGP instances. Zbl 1405.05083Liberti, Leo; Lavor, Carlile; Alencar, Jorge; Abud, Germano 7 2013 Symmetry in mathematical programming. Zbl 1242.90236Liberti, Leo 7 2012 Bidirectional \(A^*\) search on time-dependent road networks. Zbl 1241.90019Nannicini, Giacomo; Delling, Daniel; Schultes, Dominik; Liberti, Leo 7 2012 Improved strategies for branching on general disjunctions. Zbl 1229.90104Cornuéjols, G.; Liberti, L.; Nannicini, G. 7 2011 The reformulation-optimization software engine. Zbl 1294.68160Liberti, Leo; Cafieri, Sonia; Savourey, David 7 2010 Automatic generation of symmetry-breaking constraints. Zbl 1168.90566Liberti, Leo 7 2008 Bidirectional \(A^{\ast}\) search for time-dependent fast paths. Zbl 1182.90092Nannicini, Giacomo; Delling, Daniel; Liberti, Leo; Schultes, Dominik 7 2008 Linearity embedded in nonconvex programs. Zbl 1124.90026Liberti, Leo 7 2005 Reformulation and convex relaxation techniques for global optimization. Zbl 1136.90442Liberti, Leo 7 2004 Stabilizer-based symmetry breaking constraints for mathematical programs. Zbl 1312.90077Liberti, Leo; Ostrowski, James 6 2014 Reformulation in mathematical programming: An application to quantum chemistry. Zbl 1173.90494Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Nascimento, Marco Antonio Chaer 6 2009 Algorithms for finding minimum fundamental cycle bases in graphs. Zbl 1152.05370Amaldi, Edoardo; Liberti, Leo; Maffioli, Francesco; Maculan, Nelson 6 2004 Minimal NMR distance information for rigidity of protein graphs. Zbl 1405.05178Lavor, Carlile; Liberti, Leo; Donald, Bruce; Worley, Bradley; Bardiaux, Benjamin; Malliavin, Thérèse E.; Nilges, Michael 5 2019 Surrogate-based methods for black-box optimization. Zbl 1366.90196Vu, Ky Khac; D’Ambrosio, Claudia; Hamadi, Youssef; Liberti, Leo 5 2017 Divisive heuristic for modularity density maximization. Zbl 1349.90850Costa, Alberto; Kushnarev, Sergey; Liberti, Leo; Sun, Zeyu 5 2016 Improving heuristics for network modularity maximization using an exact algorithm. Zbl 1303.90112Cafieri, Sonia; Hansen, Pierre; Liberti, Leo 5 2014 Orbital shrinking. Zbl 1370.90209Fischetti, Matteo; Liberti, Leo 5 2012 On the number of solutions of the discretizable molecular distance geometry problem. Zbl 1342.90168Liberti, Leo; Masson, Benoît; Lee, Jon; Lavor, Carlile; Mucherino, Antonio 5 2011 Formulation symmetries in circle packing. Zbl 1274.90500Costa, Alberto; Liberti, Leo; Hansen, Pierre 5 2010 Shortest paths on dynamic graphs. Zbl 1188.90267Nannicini, Giacomo; Liberti, Leo 5 2008 New formulations for the Kissing Number Problem. Zbl 1144.90455Kucherenko, Sergei; Belotti, Pietro; Liberti, Leo; Maculan, Nelson 5 2007 Comparison of deterministic and stochastic approaches to global optimization. Zbl 1131.90437Liberti, Leo; Kucherenko, Sergei 5 2005 Tuning interval branch-and-prune for protein structure determination. Zbl 1422.92109Worley, Bradley; Delhommel, Florent; Cordier, Florence; Malliavin, Thérèse E.; Bardiaux, Benjamin; Wolff, Nicolas; Nilges, Michael; Lavor, Carlile; Liberti, Leo 4 2018 A symmetry-based splitting strategy for discretizable distance geometry problems. Zbl 1405.90134Fidalgo, Felipe; Gonçalves, Douglas S.; Lavor, Carlile; Liberti, Leo; Mucherino, Antonio 4 2018 New error measures and methods for realizing protein graphs from distance data. Zbl 1358.05085D’Ambrosio, Claudia; Vu, Ky; Lavor, Carlile; Liberti, Leo; Maculan, Nelson 4 2017 The power edge set problem. Zbl 1390.90119Poirion, Pierre-louis; Toubaline, Sonia; D’Ambrosio, Claudia; Liberti, Leo 4 2016 Modularity maximization in networks by variable neighborhood search. Zbl 1276.90055Aloise, Daniel; Caporossi, Gilles; Hansen, Pierre; Liberti, Leo; Perron, Sylvain; Ruiz, Manuel 4 2013 Edge-swapping algorithms for the minimum fundamental cycle basis problem. Zbl 1163.90036Amaldi, Edoardo; Liberti, Leo; Maffioli, Francesco; Maculan, Nelson 4 2009 Gaussian random projections for Euclidean membership problems. Zbl 1415.68259Vu, Ky; Poirion, Pierre-Louis; Liberti, Leo 3 2019 Open research areas in distance geometry. Zbl 1420.51011Liberti, Leo; Lavor, Carlile 3 2018 Alternating current optimal power flow with generator selection. Zbl 1403.90647Salgado, Esteban; Scozzari, Andrea; Tardella, Fabio; Liberti, Leo 3 2018 Distance geometry in linearizable norms. Zbl 1428.51005D’Ambrosio, Claudia; Liberti, Leo 3 2017 Diagonally dominant programming in distance geometry. Zbl 06657812Dias, Gustavo; Liberti, Leo 3 2016 Preface to the special issue on “Many faces of distances”. Zbl 1355.00041Lavor, Carlile (ed.); Firer, Marcelo (ed.); Martínez, José Mario (ed.); Liberti, Leo (ed.) 3 2016 Twelve surveys in operations research. Zbl 1349.90004Liberti, Leo; Marchant, Thierry; Martello, Silvano 3 2016 Efficient computation of shortest paths in time-dependent multi-modal networks. Zbl 1348.90105Kirchler, Dominik; Liberti, Leo; Calvo, Roberto Wolfler 3 2014 On the Weber facility location problem with limited distances and side constraints. Zbl 1294.90033Fernandes, Isaac F.; Aloise, Daniel; Aloise, Dario J.; Hansen, Pierre; Liberti, Leo 3 2014 On the composition of convex envelopes for quadrilinear terms. Zbl 1309.90062Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo; Miller, Andrew J. 3 2013 Edge cover by connected bipartite subgraphs. Zbl 1225.90146Liberti, Leo; Alfandari, Laurent; Plateau, Marie-Christine 3 2011 Static analysis by abstract interpretation: a mathematical programming approach. Zbl 1342.68086Goubault, Eric; Le Roux, Stéphane; Leconte, Jeremy; Liberti, Leo; Marinelli, Fabrizio 3 2010 Fast paths in large-scale dynamic road networks. Zbl 1187.90074Nannicini, Giacomo; Baptiste, Philippe; Barbier, Gilles; Krob, Daniel; Liberti, Leo 3 2010 Mathematical models and a constructive heuristic for finding minimum fundamental cycle bases. Zbl 1274.90462Liberti, Leo; Amaldi, Edoardo; Maffioli, Francesco 3 2005 Random projections for quadratic programs over a Euclidean ball. Zbl 1436.90098Vu, Ky; Poirion, Pierre-Louis; D’Ambrosio, Claudia; Liberti, Leo 2 2019 QPLIB: a library of quadratic programming instances. Zbl 1435.90099Furini, Fabio; Traversi, Emiliano; Belotti, Pietro; Frangioni, Antonio; Gleixner, Ambros; Gould, Nick; Liberti, Leo; Lodi, Andrea; Misener, Ruth; Mittelmann, Hans; Sahinidis, Nikolaos V.; Vigerske, Stefan; Wiegele, Angelika 2 2019 On the polynomiality of finding \(^K\text{DMDGP}\) re-orders. Zbl 1419.05037Lavor, Carlile; Souza, Michael; Carvalho, Luiz Mariano; Liberti, Leo 2 2019 Random projections for linear programming. Zbl 1440.90024Vu, Ky; Poirion, Pierre-Louis; Liberti, Leo 2 2018 Barvinok’s naive algorithm in distance geometry. Zbl 07165712Liberti, Leo; Vu, Ky 2 2018 A multiplicative weights update algorithm for MINLP. Zbl 1396.90050Mencarelli, Luca; Sahraoui, Youcef; Liberti, Leo 2 2017 Constraint qualification failure in action. Zbl 1380.90089Hijazi, Hassan; Liberti, Leo 2 2016 Distance geometry on the sphere. Zbl 06679461Liberti, Leo; Swirszcz, Grzegorz; Lavor, Carlile 2 2016 Observing the state of a smart grid using bilevel programming. Zbl 06539326Toubaline, Sonia; Poirion, Pierre-Louis; D’Ambrosio, Claudia; Liberti, Leo 2 2015 Mathematical programming: Turing completeness and applications to software analysis. Zbl 1358.68073Liberti, Leo; Marinelli, Fabrizio 2 2014 Is the distance geometry problem in NP? Zbl 1271.68111Beeker, Nathanael; Gaubert, Stéphane; Glusa, Christian; Liberti, Leo 2 2013 UniALT for regular language contrained shortest paths on a multi-modal transportation network. Zbl 1247.90052Kirchler, Dominik; Liberti, Leo; Pajor, Thomas; Wolfler Calvo, Roberto 2 2011 Optimal configuration of gamma ray machine radiosurgery units: The sphere covering subproblem. Zbl 1154.90347Liberti, Leo; Maculan, Nelson; Zhang, Yue 2 2009 Mathematical programming formulations for the bottleneck hyperplane clustering problem. Zbl 1160.90599Dhyani, Kanika; Liberti, Leo 2 2008 Comparison of convex relaxations for monomials of odd degree. Zbl 1095.90590Liberti, Leo 2 2003 Undecidability and hardness in mixed-integer nonlinear programming. Zbl 1414.90237Liberti, Leo 1 2019 Realizing Euclidean distance matrices by sphere intersection. Zbl 1420.51009Alencar, Jorge; Lavor, Carlile; Liberti, Leo 1 2019 The isomap algorithm in distance geometry. Zbl 1432.68521Liberti, Leo; D’Ambrosio, Claudia 1 2017 An algorithm for realizing Euclidean distance matrices. Zbl 1349.68290Alencar, Jorge; Bonates, Tibérius; Lavor, Carlile; Liberti, Leo 1 2015 Orbital independence in symmetric mathematical programs. Zbl 06539333Dias, Gustavo; Liberti, Leo 1 2015 Minimal NMR distance information for rigidity of protein graphs. Zbl 1405.05178Lavor, Carlile; Liberti, Leo; Donald, Bruce; Worley, Bradley; Bardiaux, Benjamin; Malliavin, Thérèse E.; Nilges, Michael 5 2019 Gaussian random projections for Euclidean membership problems. Zbl 1415.68259Vu, Ky; Poirion, Pierre-Louis; Liberti, Leo 3 2019 Random projections for quadratic programs over a Euclidean ball. Zbl 1436.90098Vu, Ky; Poirion, Pierre-Louis; D’Ambrosio, Claudia; Liberti, Leo 2 2019 QPLIB: a library of quadratic programming instances. Zbl 1435.90099Furini, Fabio; Traversi, Emiliano; Belotti, Pietro; Frangioni, Antonio; Gleixner, Ambros; Gould, Nick; Liberti, Leo; Lodi, Andrea; Misener, Ruth; Mittelmann, Hans; Sahinidis, Nikolaos V.; Vigerske, Stefan; Wiegele, Angelika 2 2019 On the polynomiality of finding \(^K\text{DMDGP}\) re-orders. Zbl 1419.05037Lavor, Carlile; Souza, Michael; Carvalho, Luiz Mariano; Liberti, Leo 2 2019 Undecidability and hardness in mixed-integer nonlinear programming. Zbl 1414.90237Liberti, Leo 1 2019 Realizing Euclidean distance matrices by sphere intersection. Zbl 1420.51009Alencar, Jorge; Lavor, Carlile; Liberti, Leo 1 2019 Tuning interval branch-and-prune for protein structure determination. Zbl 1422.92109Worley, Bradley; Delhommel, Florent; Cordier, Florence; Malliavin, Thérèse E.; Bardiaux, Benjamin; Wolff, Nicolas; Nilges, Michael; Lavor, Carlile; Liberti, Leo 4 2018 A symmetry-based splitting strategy for discretizable distance geometry problems. Zbl 1405.90134Fidalgo, Felipe; Gonçalves, Douglas S.; Lavor, Carlile; Liberti, Leo; Mucherino, Antonio 4 2018 Open research areas in distance geometry. Zbl 1420.51011Liberti, Leo; Lavor, Carlile 3 2018 Alternating current optimal power flow with generator selection. Zbl 1403.90647Salgado, Esteban; Scozzari, Andrea; Tardella, Fabio; Liberti, Leo 3 2018 Random projections for linear programming. Zbl 1440.90024Vu, Ky; Poirion, Pierre-Louis; Liberti, Leo 2 2018 Barvinok’s naive algorithm in distance geometry. Zbl 07165712Liberti, Leo; Vu, Ky 2 2018 Recent advances on the interval distance geometry problem. Zbl 1382.90084Gonçalves, Douglas S.; Mucherino, Antonio; Lavor, Carlile; Liberti, Leo 11 2017 Euclidean distance geometry. An introduction. Zbl 06738024Liberti, Leo; Lavor, Carlile 11 2017 An introduction to distance geometry applied to molecular geometry. Zbl 1403.92001Lavor, Carlile; Liberti, Leo; Lodwick, Weldon A.; Mendonça da Costa, Tiago 7 2017 Surrogate-based methods for black-box optimization. Zbl 1366.90196Vu, Ky Khac; D’Ambrosio, Claudia; Hamadi, Youssef; Liberti, Leo 5 2017 New error measures and methods for realizing protein graphs from distance data. Zbl 1358.05085D’Ambrosio, Claudia; Vu, Ky; Lavor, Carlile; Liberti, Leo; Maculan, Nelson 4 2017 Distance geometry in linearizable norms. Zbl 1428.51005D’Ambrosio, Claudia; Liberti, Leo 3 2017 A multiplicative weights update algorithm for MINLP. Zbl 1396.90050Mencarelli, Luca; Sahraoui, Youcef; Liberti, Leo 2 2017 The isomap algorithm in distance geometry. Zbl 1432.68521Liberti, Leo; D’Ambrosio, Claudia 1 2017 Six mathematical gems from the history of distance geometry. Zbl 1362.51002Liberti, Leo; Lavor, Carlile 14 2016 Divisive heuristic for modularity density maximization. Zbl 1349.90850Costa, Alberto; Kushnarev, Sergey; Liberti, Leo; Sun, Zeyu 5 2016 The power edge set problem. Zbl 1390.90119Poirion, Pierre-louis; Toubaline, Sonia; D’Ambrosio, Claudia; Liberti, Leo 4 2016 Diagonally dominant programming in distance geometry. Zbl 06657812Dias, Gustavo; Liberti, Leo 3 2016 Preface to the special issue on “Many faces of distances”. Zbl 1355.00041Lavor, Carlile (ed.); Firer, Marcelo (ed.); Martínez, José Mario (ed.); Liberti, Leo (ed.) 3 2016 Twelve surveys in operations research. Zbl 1349.90004Liberti, Leo; Marchant, Thierry; Martello, Silvano 3 2016 Constraint qualification failure in action. Zbl 1380.90089Hijazi, Hassan; Liberti, Leo 2 2016 Distance geometry on the sphere. Zbl 06679461Liberti, Leo; Swirszcz, Grzegorz; Lavor, Carlile 2 2016 Discretization vertex orders in distance geometry. Zbl 1321.05029Cassioli, Andrea; Günlük, Oktay; Lavor, Carlile; Liberti, Leo 17 2015 Observing the state of a smart grid using bilevel programming. Zbl 06539326Toubaline, Sonia; Poirion, Pierre-Louis; D’Ambrosio, Claudia; Liberti, Leo 2 2015 An algorithm for realizing Euclidean distance matrices. Zbl 1349.68290Alencar, Jorge; Bonates, Tibérius; Lavor, Carlile; Liberti, Leo 1 2015 Orbital independence in symmetric mathematical programs. Zbl 06539333Dias, Gustavo; Liberti, Leo 1 2015 Euclidean distance geometry and applications. Zbl 1292.51010Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Mucherino, Antonio 73 2014 On the number of realizations of certain Henneberg graphs arising in protein conformation. Zbl 1288.05121Liberti, Leo; Masson, Benoît; Lee, Jon; Lavor, Carlile; Mucherino, Antonio 21 2014 Stabilizer-based symmetry breaking constraints for mathematical programs. Zbl 1312.90077Liberti, Leo; Ostrowski, James 6 2014 Improving heuristics for network modularity maximization using an exact algorithm. Zbl 1303.90112Cafieri, Sonia; Hansen, Pierre; Liberti, Leo 5 2014 Efficient computation of shortest paths in time-dependent multi-modal networks. Zbl 1348.90105Kirchler, Dominik; Liberti, Leo; Calvo, Roberto Wolfler 3 2014 On the Weber facility location problem with limited distances and side constraints. Zbl 1294.90033Fernandes, Isaac F.; Aloise, Daniel; Aloise, Dario J.; Hansen, Pierre; Liberti, Leo 3 2014 Mathematical programming: Turing completeness and applications to software analysis. Zbl 1358.68073Liberti, Leo; Marinelli, Fabrizio 2 2014 The interval branch-and-prune algorithm for the discretizable molecular distance geometry problem with inexact distances. Zbl 1272.90074Lavor, Carlile; Liberti, Leo; Mucherino, Antonio 36 2013 Distance geometry. Theory, methods, and applications. Zbl 1256.51002Mucherino, Antonio (ed.); Lavor, Carlile (ed.); Liberti, Leo (ed.); Maculan, Nelson (ed.) 20 2013 The discretizable molecular distance geometry problem seems easier on proteins. Zbl 1366.92094Liberti, Leo; Lavor, Carlile; Mucherino, Antonio 10 2013 On the impact of symmetry-breaking constraints on spatial branch-and-bound for circle packing in a square. Zbl 1262.90143Costa, Alberto; Hansen, Pierre; Liberti, Leo 8 2013 Counting the number of solutions of \(^{\mathrm{K}}\)DMDGP instances. Zbl 1405.05083Liberti, Leo; Lavor, Carlile; Alencar, Jorge; Abud, Germano 7 2013 Modularity maximization in networks by variable neighborhood search. Zbl 1276.90055Aloise, Daniel; Caporossi, Gilles; Hansen, Pierre; Liberti, Leo; Perron, Sylvain; Ruiz, Manuel 4 2013 On the composition of convex envelopes for quadrilinear terms. Zbl 1309.90062Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo; Miller, Andrew J. 3 2013 Is the distance geometry problem in NP? Zbl 1271.68111Beeker, Nathanael; Gaubert, Stéphane; Glusa, Christian; Liberti, Leo 2 2013 On a relationship between graph realizability and distance matrix completion. Zbl 1375.05124Liberti, Leo; Lavor, Carlile 1 2013 The anonymous subgraph problem. Zbl 1349.05321Bettinelli, Andrea; Liberti, Leo; Raimondi, Franco; Savourey, David 1 2013 A two-phase heuristic for the bottleneck \(k\)-hyperplane clustering problem. Zbl 1287.90036Amaldi, Edoardo; Dhyani, Kanika; Liberti, Leo 1 2013 The discretizable molecular distance geometry problem. Zbl 1259.90153Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio 38 2012 The discretizable distance geometry problem. Zbl 1258.90100Mucherino, A.; Lavor, C.; Liberti, L. 25 2012 Recent advances on the discretizable molecular distance geometry problem. Zbl 1253.05132Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio 23 2012 A storm of feasibility pumps for nonconvex MINLP. Zbl 1257.90056D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo; Lodi, Andrea 23 2012 Discretization orders for distance geometry problems. Zbl 1258.90096Lavor, Carlile; Lee, Jon; John, Audrey Lee-St.; Liberti, Leo 21 2012 Reformulations in mathematical programming: automatic symmetry detection and exploitation. Zbl 1235.90103Liberti, Leo 21 2012 An improved column generation algorithm for minimum sum-of-squares clustering. Zbl 1236.90095Aloise, Daniel; Hansen, Pierre; Liberti, Leo 13 2012 Reduced RLT representations for nonconvex polynomial programming problems. Zbl 1244.90185Sherali, Hanif D.; Dalkiran, Evrim; Liberti, Leo 11 2012 Symmetry in mathematical programming. Zbl 1242.90236Liberti, Leo 7 2012 Bidirectional \(A^*\) search on time-dependent road networks. Zbl 1241.90019Nannicini, Giacomo; Delling, Daniel; Schultes, Dominik; Liberti, Leo 7 2012 Orbital shrinking. Zbl 1370.90209Fischetti, Matteo; Liberti, Leo 5 2012 Molecular distance geometry methods: from continuous to discrete. Zbl 1219.90177Liberti, Leo; Lavor, Carlile; Mucherino, Antonio; Maculan, Nelson 33 2011 A recipe for finding good solutions to MINLPs. Zbl 1276.90041Liberti, Leo; Mladenović, Nenad; Nannicini, Giacomo 17 2011 On the computation of protein backbones by using artificial backbones of hydrogens. Zbl 1219.90209Lavor, C.; Mucherino, A.; Liberti, L.; Maculan, N. 14 2011 Improved strategies for branching on general disjunctions. Zbl 1229.90104Cornuéjols, G.; Liberti, L.; Nannicini, G. 7 2011 On the number of solutions of the discretizable molecular distance geometry problem. Zbl 1342.90168Liberti, Leo; Masson, Benoît; Lee, Jon; Lavor, Carlile; Mucherino, Antonio 5 2011 Edge cover by connected bipartite subgraphs. Zbl 1225.90146Liberti, Leo; Alfandari, Laurent; Plateau, Marie-Christine 3 2011 UniALT for regular language contrained shortest paths on a multi-modal transportation network. Zbl 1247.90052Kirchler, Dominik; Liberti, Leo; Pajor, Thomas; Wolfler Calvo, Roberto 2 2011 On convex relaxations of quadrilinear terms. Zbl 1202.90236Cafieri, Sonia; Lee, Jon; Liberti, Leo 16 2010 Feasibility-based bounds tightening via fixed points. Zbl 1311.90189Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo 11 2010 MD-jeep: an implementation of a branch and prune algorithm for distance geometry problems. Zbl 1294.68144Mucherino, Antonio; Liberti, Leo; Lavor, Carlile 10 2010 On interval-subgradient and no-good cuts. Zbl 1202.90238D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo; Lodi, Andrea 9 2010 The reformulation-optimization software engine. Zbl 1294.68160Liberti, Leo; Cafieri, Sonia; Savourey, David 7 2010 Formulation symmetries in circle packing. Zbl 1274.90500Costa, Alberto; Liberti, Leo; Hansen, Pierre 5 2010 Static analysis by abstract interpretation: a mathematical programming approach. Zbl 1342.68086Goubault, Eric; Le Roux, Stéphane; Leconte, Jeremy; Liberti, Leo; Marinelli, Fabrizio 3 2010 Fast paths in large-scale dynamic road networks. Zbl 1187.90074Nannicini, Giacomo; Baptiste, Philippe; Barbier, Gilles; Krob, Daniel; Liberti, Leo 3 2010 Mathematical programming based debugging. Zbl 1274.68077Liberti, Leo; Le Roux, Stéphane; Leconte, Jeremy; Marinelli, Fabrizio 1 2010 Branching and bounds tightening techniques for non-connvex MINLP. Zbl 1179.90237Belotti, Pietro; Lee, Jon; Liberti, Leo; Margot, François; Wächter, Andreas 149 2009 Reformulations in mathematical programming: Definitions and systematics. Zbl 1158.90390Liberti, Leo 20 2009 Double variable neighbourhood search with smoothing for the molecular distance geometry problem. Zbl 1169.90470Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Marinelli, Fabrizio 17 2009 On the definition of artificial backbones for the discretizable molecular distance geometry problem. Zbl 1190.92009Mucherino, Antonio; Lavor, Carlile; Liberti, Leo; Maculan, Nelson 8 2009 Reformulation in mathematical programming: An application to quantum chemistry. Zbl 1173.90494Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Nascimento, Marco Antonio Chaer 6 2009 Edge-swapping algorithms for the minimum fundamental cycle basis problem. Zbl 1163.90036Amaldi, Edoardo; Liberti, Leo; Maffioli, Francesco; Maculan, Nelson 4 2009 Optimal configuration of gamma ray machine radiosurgery units: The sphere covering subproblem. Zbl 1154.90347Liberti, Leo; Maculan, Nelson; Zhang, Yue 2 2009 Editorial: Reformulation techniques in mathematical programming. Zbl 1170.90304Liberti, Leo; Maculan, Nelson 1 2009 Optimally running a biomass-based energy production process. Zbl 1160.90559Bruglieri, Maurizio; Liberti, Leo 1 2009 A branch-and-prune algorithm for the molecular distance geometry problem. Zbl 1136.92037Liberti, Leo; Lavor, Carlile; Maculan, Nelson 38 2008 Automatic generation of symmetry-breaking constraints. Zbl 1168.90566Liberti, Leo 7 2008 Bidirectional \(A^{\ast}\) search for time-dependent fast paths. Zbl 1182.90092Nannicini, Giacomo; Delling, Daniel; Liberti, Leo; Schultes, Dominik 7 2008 Shortest paths on dynamic graphs. Zbl 1188.90267Nannicini, Giacomo; Liberti, Leo 5 2008 Mathematical programming formulations for the bottleneck hyperplane clustering problem. Zbl 1160.90599Dhyani, Kanika; Liberti, Leo 2 2008 The Secret Santa problem. Zbl 1143.68505Liberti, Leo; Raimondi, Franco 1 2008 Compact linearization for binary quadratic problems. Zbl 1211.90154Liberti, Leo 8 2007 New formulations for the Kissing Number Problem. Zbl 1144.90455Kucherenko, Sergei; Belotti, Pietro; Liberti, Leo; Maculan, Nelson 5 2007 An exact reformulation algorithm for large nonconvex nLPs involving bilinear terms. Zbl 1131.90045Liberti, Leo; Pantelides, Constantinos C. 33 2006 Computational experience with the molecular distance geometry problem. Zbl 1129.90389Lavor, Carlile; Liberti, Leo; Maculan, Nelson 20 2006 Writing global optimization software. Zbl 1100.90004Liberti, Leo 20 2006 Global optimization. From theory to implementation. Zbl 1087.90005Liberti, Leo (ed.); Maculan, Nelson (ed.) 18 2006 Linearity embedded in nonconvex programs. Zbl 1124.90026Liberti, Leo 7 2005 ...and 9 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 826 Authors 71 Liberti, Leo 40 Lavor, Carlile Campos 20 Mucherino, Antonio 17 Maculan, Nelson F. 14 D’Ambrosio, Claudia 13 Floudas, Christodoulos Achilleus 13 Hansen, Pierre 13 Sahinidis, Nikolaos V. 11 Gonçalves, Douglas Soares 11 Lee, Jon 11 Mladenović, Nenad 10 Misener, Ruth 9 Lodi, Andrea 7 Aloise, Daniel 7 Barton, Paul I. 7 Dey, Santanu S. 7 Gleixner, Ambros M. 6 Berthold, Timo 6 Cafieri, Sonia 6 Grossmann, Ignacio E. 6 Locatelli, Marco 6 Salvagnin, Domenico 5 Belotti, Pietro 5 Costa, Alberto L. C. 5 Elloumi, Sourour 5 Fischetti, Matteo 5 Kallrath, Josef 5 Lambert, Amélie 5 Mitsos, Alexander 5 Monaci, Michele 5 Nannicini, Giacomo 4 Amaldi, Edoardo 4 Billionnet, Alain 4 Dalkiran, Evrim 4 Delling, Daniel 4 Fampa, Marcia Helena C. 4 Frangioni, Antonio 4 Fügenschuh, Armin R. 4 Gounaris, Chrysanthos E. 4 Marinelli, Fabrizio 4 Martello, Silvano 4 Michaels, Dennis 4 Poirion, Pierre-Louis 4 Rizzi, Romeo 4 Sherali, Hanif D. 4 Vielma, Juan Pablo 4 Vigerske, Stefan 3 Alencar, Jorge 3 Ali, M. Montaz 3 Alves, Rafael 3 Billinge, Simon J. L. 3 Bonami, Pierre 3 Buchheim, Christoph 3 Dhyani, Kanika 3 Dias, Gustavo Fruet 3 Duxbury, Phillip M. 3 Grimstad, Bjarne 3 Hendrix, Eligius M. T. 3 Jackson, Bill 3 Khajavirad, Aida 3 Krislock, Nathan 3 Lee, Jon 3 Lehmann, Thomas 3 Li, Qingna 3 Mehrotra, Sanjay 3 Melo, Wendel A. X. 3 Müller, Benjamin 3 Nowak, Ivo 3 Ostrowski, James P. 3 Pfetsch, Marc E. 3 Pintér, János D. 3 Rebennack, Steffen 3 Rehn, Thomas 3 Sagratella, Simone 3 Santana, Asteroide 3 Schewe, Lars 3 Schmidt, Martin 3 Schoen, Fabio 3 Schürmann, Achill 3 Scott, Joseph K. 3 Skipper, Daphne E. 3 Speakman, Emily 3 Tawarmalani, Mohit 3 Todosijević, Raca 3 Traversi, Emiliano 3 Vu, Ky Khac 2 Adams, Warren Philips 2 Ahmed, Shabbir 2 Alfaki, Mohammed 2 Alizadeh, Farid 2 Ballerstein, Martin 2 Bardiaux, Benjamin 2 Bent, Russell W. 2 Birgin, Ernesto G. 2 Bompadre, Agustín 2 Bulutoglu, Dursun A. 2 Carrizosa, Emilio 2 Carvalho, Luiz Mariano 2 Carvalho, Margarida 2 Cassioli, Andrea ...and 726 more Authors all top 5 Cited in 92 Serials 91 Journal of Global Optimization 31 Discrete Applied Mathematics 27 Mathematical Programming. Series A. Series B 26 Optimization Letters 22 Computers & Operations Research 19 European Journal of Operational Research 17 Computational Optimization and Applications 16 Mathematical Programming Computation 11 Annals of Operations Research 10 SIAM Journal on Optimization 9 Optimization Methods & Software 8 Operations Research Letters 8 4OR 7 Advances in Applied Clifford Algebras 6 Top 6 International Transactions in Operational Research 6 INFORMS Journal on Computing 6 EURO Journal on Computational Optimization 5 Journal of Optimization Theory and Applications 5 Optimization and Engineering 4 Algorithmica 4 Mathematical Methods of Operations Research 4 Journal of Combinatorial Optimization 4 SIAM Journal on Applied Algebra and Geometry 3 Artificial Intelligence 3 Information Processing Letters 3 Applied Mathematics and Computation 3 Networks 3 Journal of Classification 3 Constraints 3 Mathematical Problems in Engineering 3 Discrete Optimization 2 Journal of Combinatorial Theory. Series B 2 Journal of Computational and Applied Mathematics 2 Operations Research 2 SIAM Journal on Control and Optimization 2 Optimization 2 Journal of Symbolic Computation 2 Discrete & Computational Geometry 2 Asia-Pacific Journal of Operational Research 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 Journal of Scheduling 2 LMS Journal of Computation and Mathematics 2 RAIRO. Operations Research 2 ACM Journal of Experimental Algorithmics 2 Mathematics in Computer Science 1 American Mathematical Monthly 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Biology 1 Physica A 1 Automatica 1 Computing 1 Information Sciences 1 Journal of the Mathematical Society of Japan 1 Results in Mathematics 1 Optimal Control Applications & Methods 1 Combinatorica 1 Acta Applicandae Mathematicae 1 Journal of Automated Reasoning 1 International Journal of Approximate Reasoning 1 COMPEL 1 SIAM Journal on Discrete Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Machine Learning 1 Japan Journal of Industrial and Applied Mathematics 1 Pattern Recognition 1 SIAM Review 1 Journal of Nonlinear Science 1 Experimental Mathematics 1 Formal Methods in System Design 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 The Electronic Journal of Combinatorics 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Difference Equations and Applications 1 Journal of Heuristics 1 Multibody System Dynamics 1 Vietnam Journal of Mathematics 1 Journal of the ACM 1 PAA. Pattern Analysis and Applications 1 CEJOR. Central European Journal of Operations Research 1 Journal of High Energy Physics 1 International Journal of Modern Physics C 1 The ANZIAM Journal 1 Journal of Discrete Algorithms 1 Acta Numerica 1 Computational Management Science 1 Journal of Physics A: Mathematical and Theoretical 1 The Annals of Applied Statistics 1 Algorithms 1 Numerical Algebra, Control and Optimization all top 5 Cited in 42 Fields 388 Operations research, mathematical programming (90-XX) 60 Computer science (68-XX) 52 Combinatorics (05-XX) 44 Numerical analysis (65-XX) 23 Geometry (51-XX) 19 Convex and discrete geometry (52-XX) 19 Biology and other natural sciences (92-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Statistics (62-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Probability theory and stochastic processes (60-XX) 5 History and biography (01-XX) 5 Algebraic geometry (14-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 4 Information and communication theory, circuits (94-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 2 Group theory and generalizations (20-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.