Edit Profile Deza, Michel Marie Compute Distance To: Compute Author ID: deza.michel-marie Published as: Deza, M.; Deza, M. E.; Deza, M. M.; Deza, M.-M.; Deza, Michel; Deza, Michel M.; Deza, Michel Marie; Deza, Michel-Marie; Deza, Mikhail External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND Documents Indexed: 229 Publications since 1965, including 17 Books Biographic References: 5 Publications all top 5 Co-Authors 25 single-authored 31 Dutour-Sikiric, Mathieu 30 Shtogrin, Mikhail Ivanovich 29 Grishukhin, Vyacheslav Petrovich 27 Laurent, Monique 18 Frankl, Péter 10 Rosenberg, Ivo G. 7 Singhi, Navin Madhavprasad 6 Cameron, Peter Jephson 6 Deza, Elena 6 Vanstone, Scott Alexander 5 Deza, Antoine 5 Erdős, Pál 5 Hamada, Noboru 5 Huang, Tayuan 5 Shpectorov, Sergey Viktorovich 4 Cohen, Gérard Denis 4 Maehara, Hiroshi 3 Alahmadi, Adel N. 3 Deza, Elena Ivanovich 3 Fowler, Patrick W. 3 Mullin, Ronald Cleveland 3 Solé, Patrick 2 Assouad, Patrice 2 Chebotarev, Pavel Yu. 2 Delgado-Friedrichs, Olaf 2 Fukuda, Komei 2 Grötschel, Martin 2 Panteleeva, Elena 2 Poljak, Svatopluk 1 Alhazmi, Husain 1 Ali, Shakir 1 Andoni, Alexandr 1 Avis, David M. 1 Babai, László 1 Bannai, Eiichi 1 Blake, Ian F. 1 Bonisoli, Arrigo 1 Ceulemans, Arnout Jozef 1 Chepoi, Victor D. 1 Cobourn, Charles J. 1 de La Vaissière, Benoit 1 De Simone, Caterina 1 Debroni, Sean 1 Delisle, Erin 1 Deuber, Walter A. 1 Deza, Elena Ivanovna 1 Eades, Peter 1 Euler, Reinhardt 1 Foldes, Stefan 1 Gupta, Anupam 1 Hirschfeld, James William Peter 1 Hoffman, Frederick 1 Ihringer, Thomas 1 Indyk, Piotr 1 Karpovsky, Mark G. 1 Kim, Ann Chi 1 Kiyota, Masanori 1 Lih, Ka-Wei 1 Lijnen, Erwin 1 Manoussakis, Ioannis 1 Manoussakis, Yannis G. 1 Milman, Vitali D. 1 Myrvold, Wendy J. 1 Onn, Shing-Chung 1 Ossona de Mendez, Patrice 1 Pankov, Mark 1 Pasechnik, Dmitrii V. 1 Raskhodnikova, Sofya 1 Raychaudhuri, D. K. 1 Rosenstiehl, Pierre 1 Sabidussi, Gert 1 Sethi, Amit 1 Steyaert, Jean-Marc 1 Terwilliger, Paul M. 1 Tůma, Jiří 1 Vidali, Janoš 1 Whitney, Joseph Andrew 1 Woodcock, Jennifer all top 5 Serials 14 Discrete Mathematics 14 European Journal of Combinatorics 11 Russian Mathematical Surveys 6 Discrete Applied Mathematics 5 Journal of Statistical Planning and Inference 5 Southeast Asian Bulletin of Mathematics 5 Combinatorica 5 Graphs and Combinatorics 4 Journal of Combinatorics, Information & System Sciences 4 Bulletin of the Institute of Mathematics. Academia Sinica 3 Cahiers du Centre d’Études de Recherche Opérationnelle 3 Journal of Combinatorial Theory. Series A 3 Mathematika 3 Discrete & Computational Geometry 2 Acta Universitatis Carolinae. Mathematica et Physica 2 Mathematical Notes 2 The Fibonacci Quarterly 2 Geometriae Dedicata 2 Journal of Algebra 2 Journal of Computational and Applied Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Utilitas Mathematica 2 Rendiconti del Seminario Matemàtico di Brescia 2 Linear Algebra and its Applications 2 Mathematical Programming. Series A. Series B 2 Combinatorics, Probability and Computing 2 Izvestiya: Mathematics 2 Journal of Mathematical Chemistry 2 Taiwanese Journal of Mathematics 2 Algorithms and Combinatorics 2 Annals of Discrete Mathematics 2 Ars Mathematica Contemporanea 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Journal of Geometry and Physics 1 Ars Combinatoria 1 Canadian Journal of Mathematics 1 Information and Control 1 Journal of Combinatorial Theory. Series B 1 Journal of Geometry 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Mathematics of Operations Research 1 Networks 1 Proceedings of the American Mathematical Society 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Revista Técnica de la Facultad de Ingenieria 1 Journal of Mathematical Research & Exposition 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Applicandae Mathematicae 1 American Journal of Mathematical and Management Sciences 1 Journal of Symbolic Computation 1 Ryukyu Mathematical Journal 1 Aequationes Mathematicae 1 Problemy Peredachi Informatsii 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 Bulletin of the Institute of Combinatorics and its Applications 1 The Electronic Journal of Combinatorics 1 Symmetry: Culture and Science 1 International Transactions in Operational Research 1 Multiple-Valued Logic 1 RIMS Kokyuroku 1 Mathématiques et Sciences Humaines 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Revue du CETHEDEC 1 Contributions to Discrete Mathematics 1 Chebyshevskiĭ Sbornik 1 Encyclopedia of Mathematics and Its Applications 1 Lecture Notes in Computer Science 1 London Mathematical Society Lecture Note Series 1 Optimization Letters 1 Acta Crystallographica. Section A 1 Forum for Interdisciplinary Mathematics all top 5 Fields 154 Combinatorics (05-XX) 87 Convex and discrete geometry (52-XX) 35 Geometry (51-XX) 22 Operations research, mathematical programming (90-XX) 18 Information and communication theory, circuits (94-XX) 17 Group theory and generalizations (20-XX) 15 Number theory (11-XX) 13 Biology and other natural sciences (92-XX) 10 General and overarching topics; collections (00-XX) 8 General topology (54-XX) 8 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 5 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Algebraic topology (55-XX) 2 History and biography (01-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 177 Publications have been cited 1,573 times in 1,015 Documents Cited by ▼ Year ▼ Geometry of cuts and metrics. Zbl 0885.52001Deza, Michel Marie; Laurent, Monique 226 1997 Encyclopedia of distances. Zbl 1167.51001Deza, Michel Marie; Deza, Elena 102 2009 On the maximum number of permutations with given maximal or minimal distance. Zbl 0352.05003Frankl, Peter; Deza, Mikhail 76 1977 Erdős-Ko-Rado theorem - 22 years later. Zbl 0526.05001Deza, M.; Frankl, P. 74 1983 Geometry of cuts and metrics. Paperback reprint of the 1997 original. Zbl 1210.52001Deza, Michel Marie; Laurent, Monique 39 2010 Intersection properties of systems of finite sets. Zbl 0407.05006Deza, M.; Erdős, Paul; Frankl, P. 36 1978 Facets for the cut cone. I. Zbl 0768.90074Deza, Michel; Laurent, Monique 29 1992 Une propriété extremale des plans projectifs finis dans une classe de codes équidistants. Zbl 0271.94006Deza, M. 29 1973 Encyclopedia of distances. 3rd ed. Zbl 1301.51001Deza, Michel Marie; Deza, Elena 25 2014 Espaces métriques plongeables dans un hypercube: aspects combinatoires. Zbl 0464.05029Assouad, Patrice; Deza, Michel 25 1980 The ridge graph of the metric polytope and some relatives. Zbl 0809.52017Deza, Antoine; Deza, Michel 24 1994 The cut cone, \(L^ 1\) embeddability, complexity, and multicommodity flows. Zbl 0748.90015Avis, David; Deza, Michel 23 1991 Clique-web facets for multicut polytopes. Zbl 0762.90079Deza, M.; Grötschel, M.; Laurent, M. 22 1992 Metrics on permutations, a survey. Zbl 1217.05038Deza, Michel; Huang, Tayuan 21 1998 Facets for the cut cone. II: Clique-web inequalities. Zbl 0768.90075Deza, Michel; Laurent, Monique 21 1992 Encyclopedia of distances. 4th edition. Zbl 1351.51001Deza, Michel Marie; Deza, Elena 20 2016 Bounds for permutation arrays. Zbl 0384.05026Deza, M.; Vanstone, S. A. 20 1978 The hypermetric cone is polyhedral. Zbl 0801.52009Deza, M.; Grishukhin, V. P.; Laurent, M. 19 1993 On permutation geometries. Zbl 0449.05016Cameron, P. J.; Deza, M. 18 1979 Matrices des formes quadratiques non négatives pour des arguments binaires. Zbl 0275.05014Deza, Mikhail 17 1973 Clin d’oeil on \(L_1\)-embeddable planar graphs. Zbl 0892.05018Chepoi, Victor; Deza, Michel; Grishukin, Viatcheslav 15 1997 Extreme hypermetrics and \(L\)-polytopes. Zbl 0784.11027Deza, M.; Grishukhin, V. P.; Laurent, M. 15 1992 Coding with permutations. Zbl 0415.94010Blake, Ian F.; Cohen, Gerard; Deza, Mikhail 15 1979 The symmetries of the cut polytope and of some relatives. Zbl 0748.05061Deza, M.; Grishukhin, V. P.; Laurent, M. 14 1991 Characterization of \(\{2(q+1)+2,2;t,q\}\)-\(\min \cdot hypers\) in PG(t,q) (t\(\geq 3,q\geq 5)\) and its applications to error-correcting codes. Zbl 0678.94010Hamada, Noboru; Deza, Michel 13 1988 Sharp sets of permutations. Zbl 0648.20005Cameron, P. J.; Deza, M.; Frankl, P. 13 1987 Application of cut polyhedra. I. Zbl 0826.52012Deza, Michel; Laurent, Monique 12 1994 A characterization of some (n,k,d;q)-codes meeting the Griesmer bound for given integers k\(\geq 3\), q\(\geq 5\) and \(d=q^{k-1}-q^{\alpha}- q^{\beta}-q^ r\) \((0\leq \alpha \leq \beta <\gamma <k-1\) or \(0\leq \alpha <\beta \leq k-1)\). Zbl 0663.05015Hamada, Noboru; Deza, Michel 12 1988 Metric subspaces of \(L^ 1\). Zbl 0478.05021Assouad, Patrice; Deza, Michel 12 1982 Solution d’un problème de Erdős-Lovasz. Zbl 0263.05007Deza, M. 12 1974 Fullerenes and coordination polyhedra versus half-cube embeddings. Zbl 0951.92034Deza, Antoine; Deza, Michel; Grishukhin, Viatcheslav 11 1998 Applications of cut polyhedra. II. Zbl 0826.52013Deza, Michel; Laurent, Monique 11 1994 Collapsing and lifting for the cut cone. Zbl 0799.90099De Simone, Caterina; Deza, Michel; Laurent, Monique 11 1994 Hypermetric graphs. Zbl 0795.05120Deza, M.; Grishukhin, P. 11 1993 A characterization of \(\{v_{\mu +1}+\epsilon,v_{\mu};t,q\}\)-min\(\cdot hypers\) and its applications to error-correcting codes and factorial designs. Zbl 0678.94011Hamada, Noboru; Deza, Michel 11 1989 On functions of strength t. Zbl 0528.05012Deza, M.; Frankl, P.; Singhi, N. M. 11 1983 Encyclopedia of distances. 2nd ed. Zbl 1259.51001Deza, Michel Marie; Deza, Elena 10 2013 \(n\)-semimetrics. Zbl 0988.54029Deza, M.-M.; Rosenberg, I. G. 10 2000 Recognition of the \(\ell_ 1\)-graphs with complexity \(O(nm)\), or Football in a hypercube. Zbl 0854.05093Deza, M.; Shpectorov, S. 10 1996 The classification of finite connected hypermetric spaces. Zbl 0618.05043Terwilliger, Paul; Deza, Michel 10 1987 \(\ell_ 1\)-rigid graphs. Zbl 0802.05066Deza, M.; Laurent, M. 9 1994 A characterization of \(\{ 2\upsilon{}_{\alpha{}+1}+2\upsilon{}_{\beta{}+1},2\upsilon_ \alpha{}+2\upsilon{}_ \beta{} ;t,q\}\)-minihypers in PG\((t,q)(t\geq 2,q\geq 5\) and \(0\leq\alpha{}<\beta{}<t)\) and its applications to error- correcting codes. Zbl 0746.51015Hamada, Noboru; Deza, Michel 9 1991 Metric transforms and euclidean embeddings. Zbl 0685.51010Deza, M.; Maehara, H. 9 1990 Scale-isometric polytopal graphs in hypercubes and cubic lattices. Polytopes in hypercubes and \(Z_n\). Zbl 1054.52007Deza, Michel; Grishukhin, V.; Shtogrin, M. 8 2004 Quasi-semi-metrics, oriented multi-cuts and related polyhedra. Zbl 0966.52010Deza, Michel; Panteleeva, Elena 8 2000 New results on facets of the cut cone. Zbl 1230.05173Deza, Michel; Laurent, Monique 8 1992 A Helly type theorem for hypersurfaces. Zbl 0614.52008Deza, M.; Frankl, P. 8 1987 Every large set of equidistant (0,+1,-1)-vectors forms a sunflower. Zbl 0491.05045Deza, M.; Frankl, P. 8 1981 Voronoi polytopes for polyhedral norms on lattices. Zbl 1342.52015Deza, Michel; Dutour Sikirić, Mathieu 7 2015 Zigzag structures of simple two-faced polyhedra. Zbl 1059.05037Deza, Michel; Dutour, Mathieu 7 2005 The inequicut cone. Zbl 0801.52006Deza, Michel; Fukuda, Komei; Laurent, Monique 7 1993 The cut cone. III: On the role of triangle facets. Zbl 0777.90047Deza, Michel; Laurent, Monique; Poljak, Svatopluk 7 1992 A survey of recent works with respect to a characterization of an (n,k,d;q)-code meeting the Griesmer bound using a min\(\cdot hyper\) in a finite projective geometry. Zbl 0687.05014Hamada, Noboru; Deza, Michel 7 1989 Injection geometries. Zbl 0553.05031Deza, M.; Frankl, P. 7 1984 On the vector space of 0-configurations. Zbl 0512.05046Deza, M.; Frankl, P. 7 1982 Combinatorial problems on subsets and their intersections. Zbl 0434.05001Deza, M.; Erdős, Paul; Singhi, N. M. 7 1978 Matrices dont deux lignes quelconque coincident dans un nombre donne de positions communes. Zbl 0325.05014Deza, M. 7 1976 Figurate numbers. Zbl 1258.11001Deza, Elena; Deza, Michel Marie 6 2012 Types and boundary uniqueness of polypentagons. Zbl 1146.05041Deza, M.; Shtogrin, M. I. 6 2006 Properties of parallelotopes equivalent to Voronoi’s conjecture. Zbl 1057.52012Deza, Michel; Grishukhin, Viacheslav 6 2004 Embeddings of chemical graphs in hypercubes. Zbl 0982.05096Deza, M.; Shtogrin, M. I. 6 2000 A zoo of \(\ell_ 1\)-embeddable polytopal graphs. Zbl 0886.05056Deza, M.; Grishukhin, V. P. 6 1997 A note on \(l_ 1\)-rigid planar graphs. Zbl 0851.05047Deza, M.; Tůma, J. 6 1996 Hypermetrics in geometry of numbers. Zbl 1071.52500Deza, M.; Grishukhin, V. P.; Laurent, M. 6 1995 Variety of hypercube embeddings of the equidistant metric and designs. Zbl 0853.51005Deza, Michel; Laurent, Monique 6 1993 The even and odd cut polytopes. Zbl 0783.52008Deza, Michel; Laurent, Monique 6 1993 Complete descriptions of small multicut polytopes. Zbl 0737.52007Deza, M.; Grötschel, M.; Laurent, M. 6 1991 Bounds on the maximum number of vectors with given scalar products. Zbl 0643.05041Deza, M.; Frankl, P. 6 1985 Finite commutative Moufang loops, related matroids, and association schemes. Zbl 0456.05022Deza, M. 6 1980 Space fullerenes: a computer search for new Frank-Kasper structures. Zbl 1370.82015Dutour Sikirić, Mathieu; Delgado-Friedrichs, Olaf; Deza, Michel 5 2010 The symetries of cubic polyhedral graphs with face size no larger than 6. Zbl 1199.52028Deza, Michel; Dutour Sikirić, Mathieu; Fowler, Patrick W. 5 2009 The hypermetric cone on seven vertices. Zbl 1101.11021Deza, Michel; Dutour, Mathieu 5 2003 Lower bounds for embedding edit distance into normed spaces. Zbl 1092.68685Andoni, A.; Deza, M.; Gupta, Anupam; Indyk, P.; Raskhodnikova, S. 5 2003 Extremal and nonextendible polycycles. Zbl 1067.05021Deza, M.; Shtogrin, M. I. 5 2002 Lattice-free polytopes and their diameter. Zbl 0817.52018Deza, M.; Onn, S. 5 1995 A few applications of negative-type inequalities. Zbl 0813.05024Deza, M.; Maehara, H. 5 1994 Extension operations for cuts. Zbl 0767.05012Deza, Michel; Laurent, Monique 5 1992 Perfect matroid designs. Zbl 0773.05035Deza, M. 5 1992 Bouquets of maroids, d-injection geometries and diagrams. Zbl 0633.05020Deza, Michel; Laurent, Monique 5 1987 On permutation cliques. Zbl 0458.05004Deza, M. 5 1980 Cardinalites de sommets et d’aretes d’hypergraphes satisfaisant à certaines conditions sur l’intersection d’aretes. Zbl 0429.05056Deza, M.; Rosenberg, I. 5 1978 Orthogonal systems. Zbl 0377.05012Deza, M.; Mullin, R. C.; Vanstone, S. A. 5 1978 Room squares and equidistant permutation arrays. Zbl 0351.05017Deza, M.; Mullin, R. C.; Vanstone, S. A. 5 1976 Geometric structure of chemistry-relevant graphs. Zigzags and central circuits. Zbl 1320.05002Deza, Michel-Marie; Dutour Sikirić, Mathieu; Shtogrin, Mikhail Ivanovitch 4 2015 Zigzag structure of complexes. Zbl 1080.52504Deza, Michel; Dutour, Mathieu 4 2005 Graphs \(4_n\) that are isometrically embeddable in hypercubes. Zbl 1079.05024Deza, Michel; Dutour Sikirić, Mathieu; Shpectorov, Sergey 4 2005 Small cones of \(m\)-hemimetrics. Zbl 1072.52010Deza, M.-M.; Rosenberg, I. G. 4 2005 Goldberg-Coxeter construction for 3- and 4-valent plane graphs. Zbl 1053.52013Dutour, Mathieu; Deza, Michel 4 2004 Mosaics and their isometric embeddings. Zbl 1031.52007Deza, M.; Shtogrin, M. I. 4 2002 More icosahedral fulleroids. Zbl 0963.51009Friedrichs, Olaf Delgado; Deza, Michel 4 2000 Loops of clutters. Zbl 0723.05114Deza, Michel Marie; Fukuda, Komei 4 1990 On squashed designs. Zbl 0636.05017Deza, M.; Frankl, P. 4 1986 Small pentagonal spaces. Zbl 0557.05059Deza, M. 4 1984 Small pentagonal spaces. Zbl 0546.52006Deza, M. 4 1984 On sharply edge-transitive permutation groups. Zbl 0475.05042Babai, Laszlo; Cameron, Peter J.; Deza, Michel; Singhi, Navin M. 4 1981 Some properties of perfect matroid designs. Zbl 0457.05018Deza, M.; Singhi, N. M. 4 1980 Enumeration of the facets of cut polytopes over some highly symmetric graphs. Zbl 1348.90537Deza, Michel; Dutour Sikirić, Mathieu 3 2016 Generalizations of finite metrics and cuts. Zbl 1362.51001Deza, Elena; Deza, Michel; Dutour-Sikirić, Mathieu 3 2016 Fullerenes and disk-fullerenes. Zbl 1281.52003Deza, M.; Dutour Sikirić, M.; Shtogrin, M. I. 3 2013 Cones of partial metrics. Zbl 1323.51004Deza, Michel; Deza, Elena 3 2011 The joint weight enumerator of an LCD code and its dual. Zbl 1445.94033Alahmadi, Adel; Deza, Michel; Dutour-Sikirić, Mathieu; Solé, Patrick 1 2019 The hypermetric cone and polytope on eight vertices and some generalizations. Zbl 1390.68716Deza, Michel; Dutour Sikirić, Mathieu 2 2018 Zigzag structure of thin chamber complexes. Zbl 1405.51007Deza, Michel; Pankov, Mark 2 2018 Encyclopedia of distances. 4th edition. Zbl 1351.51001Deza, Michel Marie; Deza, Elena 20 2016 Enumeration of the facets of cut polytopes over some highly symmetric graphs. Zbl 1348.90537Deza, Michel; Dutour Sikirić, Mathieu 3 2016 Generalizations of finite metrics and cuts. Zbl 1362.51001Deza, Elena; Deza, Michel; Dutour-Sikirić, Mathieu 3 2016 Voronoi polytopes for polyhedral norms on lattices. Zbl 1342.52015Deza, Michel; Dutour Sikirić, Mathieu 7 2015 Geometric structure of chemistry-relevant graphs. Zigzags and central circuits. Zbl 1320.05002Deza, Michel-Marie; Dutour Sikirić, Mathieu; Shtogrin, Mikhail Ivanovitch 4 2015 Encyclopedia of distances. 3rd ed. Zbl 1301.51001Deza, Michel Marie; Deza, Elena 25 2014 Encyclopedia of distances. 2nd ed. Zbl 1259.51001Deza, Michel Marie; Deza, Elena 10 2013 Fullerenes and disk-fullerenes. Zbl 1281.52003Deza, M.; Dutour Sikirić, M.; Shtogrin, M. I. 3 2013 Maximum independent sets of the 120-cell and other regular polyhedra. Zbl 1290.05116Debroni, Sean; Delisle, Erin; Myrvold, Wendy; Sethi, Amit; Whitney, Joseph; Woodcock, Jennifer; Fowler, Patrick W.; de La Vaissière, Benoit; Deza, Michel 1 2013 Figurate numbers. Zbl 1258.11001Deza, Elena; Deza, Michel Marie 6 2012 Cones of weighted and partial metrics. Zbl 1279.52001Deza, Michel; Deza, Elena; Vidali, Janoš 2 2012 Zigzag and central circuit structure of \((\{1,2,3\}, 6)\)-spheres. Zbl 1245.05028Deza, Michel; Dutour Sikirić, Mathieu 1 2012 Cones of partial metrics. Zbl 1323.51004Deza, Michel; Deza, Elena 3 2011 Geometry of cuts and metrics. Paperback reprint of the 1997 original. Zbl 1210.52001Deza, Michel Marie; Laurent, Monique 39 2010 Space fullerenes: a computer search for new Frank-Kasper structures. Zbl 1370.82015Dutour Sikirić, Mathieu; Delgado-Friedrichs, Olaf; Deza, Michel 5 2010 Encyclopedia of distances. Zbl 1167.51001Deza, Michel Marie; Deza, Elena 102 2009 The symetries of cubic polyhedral graphs with face size no larger than 6. Zbl 1199.52028Deza, Michel; Dutour Sikirić, Mathieu; Fowler, Patrick W. 5 2009 Polyhexes that are \(\ell _1\) graphs. Zbl 1221.05110Deza, M.; Shpectorov, S. 3 2009 New examples of generalized fullerenes. Zbl 1183.52012Deza, M.; Shtogrin, M. I. 1 2009 Hypercube embeddings of Wythoffians. Zbl 1152.52005Deza, Michel; Dutour Sikirić, Mathieu; Shpectorov, Sergey 3 2008 Geometry of chemical graphs. Polycycles and two-faced maps. Zbl 1153.05065Deza, Michel; Dutour Sikirić, Mathieu 3 2008 Filling of a given boundary by \(p\)-gons and related problems. Zbl 1144.05026Dutour Sikirić, Mathieu; Deza, Michel; Shtogrin, Mikhail 2 2008 More about the 52 four-dimensional parallelotopes. Zbl 1155.52013Deza, M.; Grishukhin, V. P. 2 2008 The undecakisicosahedral group and a 3-regular carbon network of genus 26. Zbl 1127.92051Lijnen, Erwin; Ceulemans, Arnout; Fowler, Patrick W.; Deza, Michel 2 2007 Designs and matroids. Zbl 1110.05309Cameron, Peter J.; Deza, Michel M. 1 2007 Types and boundary uniqueness of polypentagons. Zbl 1146.05041Deza, M.; Shtogrin, M. I. 6 2006 Non-extendible finite polycycles. Zbl 1103.05025Deza, M.; Shpectorov, S. V.; Shtogrin, M. I. 1 2006 Zigzag structures of simple two-faced polyhedra. Zbl 1059.05037Deza, Michel; Dutour, Mathieu 7 2005 Zigzag structure of complexes. Zbl 1080.52504Deza, Michel; Dutour, Mathieu 4 2005 Graphs \(4_n\) that are isometrically embeddable in hypercubes. Zbl 1079.05024Deza, Michel; Dutour Sikirić, Mathieu; Shpectorov, Sergey 4 2005 Small cones of \(m\)-hemimetrics. Zbl 1072.52010Deza, M.-M.; Rosenberg, I. G. 4 2005 Scale-isometric polytopal graphs in hypercubes and cubic lattices. Polytopes in hypercubes and \(Z_n\). Zbl 1054.52007Deza, Michel; Grishukhin, V.; Shtogrin, M. 8 2004 Properties of parallelotopes equivalent to Voronoi’s conjecture. Zbl 1057.52012Deza, Michel; Grishukhin, Viacheslav 6 2004 Goldberg-Coxeter construction for 3- and 4-valent plane graphs. Zbl 1053.52013Dutour, Mathieu; Deza, Michel 4 2004 Nonrigidity degrees of root lattices and their duals. Zbl 1073.11044Deza, Michel; Grishukhin, Viacheslav 2 2004 Voronoĭ’s conjecture and space tiling zonotopes. Zbl 1105.52007Deza, Michel; Grishukhin, Viacheslav 1 2004 On volume-measure as hemi-metrics. Zbl 1078.52006Deza, Michel; Dutour, Mathieu; Maehara, Hiroshi 1 2004 Archimedean polycycles. Zbl 1071.52015Deza, M.; Shtogrin, M. I. 1 2004 On simplicial and cubical complexes with short links. Zbl 1071.52013Deza, Michel; Dutour, Mathieu; Shtogrin, Mikhail 1 2004 The hypermetric cone on seven vertices. Zbl 1101.11021Deza, Michel; Dutour, Mathieu 5 2003 Lower bounds for embedding edit distance into normed spaces. Zbl 1092.68685Andoni, A.; Deza, M.; Gupta, Anupam; Indyk, P.; Raskhodnikova, S. 5 2003 4-valent plane graphs with 2-, 3- and 4-gonal faces. Zbl 1035.05051Deza, Michel; Dutour, Mathieu; Shtogrin, Mikhail 1 2003 Extremal and nonextendible polycycles. Zbl 1067.05021Deza, M.; Shtogrin, M. I. 5 2002 Mosaics and their isometric embeddings. Zbl 1031.52007Deza, M.; Shtogrin, M. I. 4 2002 Small cones of oriented semi-metrics. Zbl 1081.52013Deza, Michel; Dutour, Mathieu; Panteleeva, Elena 3 2002 Rank 1 forms, closed zones and laminae. Zbl 1069.11026Deza, Michel; Grishukhin, Viatcheslav 3 2002 Clusters of cycles. Zbl 0996.05081Deza, Michel; Shtogrin, Mikhail 3 2002 A criterion for the embeddability of \((r,q)\)-polycycles. Zbl 1045.05035Deza, M.; Shtogrin, M. I. 1 2002 A generalization of strongly regular graphs. Zbl 1026.05106Deza, Michel; Huang, Tayuan 1 2002 Maps of \(p\)-gons with a ring of \(q\)-gons. Zbl 1004.05500Deza, Michel; Grishukhin, Viatcheslav 1 2002 Isometric embedding of mosaics into cubic lattices. Zbl 0998.52019Deza, Michel; Shtogrin, Mikhail 1 2002 \(n\)-semimetrics. Zbl 0988.54029Deza, M.-M.; Rosenberg, I. G. 10 2000 Quasi-semi-metrics, oriented multi-cuts and related polyhedra. Zbl 0966.52010Deza, Michel; Panteleeva, Elena 8 2000 Embeddings of chemical graphs in hypercubes. Zbl 0982.05096Deza, M.; Shtogrin, M. I. 6 2000 More icosahedral fulleroids. Zbl 0963.51009Friedrichs, Olaf Delgado; Deza, Michel 4 2000 Octahedrites. Zbl 1026.52012Deza, Michel; Shtogrin, Mikhail 2 2000 Polycycles: Symmetry and embeddability. Zbl 1010.05040Deza, M.; Shtogrin, M. I. 2 2000 Infinite primitive polycycles. Zbl 0958.05071Deza, M.; Shtogrin, M. I. 2 2000 Uniform partitions of 3-space, their relatives and embedding. Zbl 0967.52006Deza, Michel; Shtogrin, Mikhail 1 2000 Primitive polycycles and hélicenes. Zbl 0953.05035Deza, M.; Shtogrin, M. I. 3 1999 \(l_1\)-embeddable polyhedra. Zbl 0959.52011Deza, Michel; Grishukhin, Viacheslav 2 1999 Three-, four-, and five-dimensional fullerenes. Zbl 0946.52006Deza, Michel; Shtogrin, Mikhail 2 1999 Metrics on permutations, a survey. Zbl 1217.05038Deza, Michel; Huang, Tayuan 21 1998 Fullerenes and coordination polyhedra versus half-cube embeddings. Zbl 0951.92034Deza, Antoine; Deza, Michel; Grishukhin, Viatcheslav 11 1998 Embedding of skeletons of Voronoï and Delaunay partitions into cubic lattices. Zbl 0946.05006Deza, Michel; Shtogrin, Mikhail 1 1998 Voronoï \(L\)-decomposition of \(PSD_{n}\) and the hypermetric correlation cone. Zbl 0955.52002Deza, Michel; Grishukhin, Vyatchaeslav 1 1998 Odd systems of vectors and related lattices. Zbl 0939.11025Deza, M.; Grishukhin, V. P. 1 1998 Erratum to “Bounds on the covering radius of a lattice”. Zbl 0902.11026Deza, M.; Grishukhin, V. P. 1 1998 Geometry of cuts and metrics. Zbl 0885.52001Deza, Michel Marie; Laurent, Monique 226 1997 Clin d’oeil on \(L_1\)-embeddable planar graphs. Zbl 0892.05018Chepoi, Victor; Deza, Michel; Grishukin, Viatcheslav 15 1997 A zoo of \(\ell_ 1\)-embeddable polytopal graphs. Zbl 0886.05056Deza, M.; Grishukhin, V. P. 6 1997 The embedding of graphs in hypercubes and cubic lattices. Zbl 0916.05021Deza, M.; Shtogrin, M. I. 1 1997 Recognition of the \(\ell_ 1\)-graphs with complexity \(O(nm)\), or Football in a hypercube. Zbl 0854.05093Deza, M.; Shpectorov, S. 10 1996 A note on \(l_ 1\)-rigid planar graphs. Zbl 0851.05047Deza, M.; Tůma, J. 6 1996 Isometric embeddings of semiregular polyhedra, tilings and their duals in hypercubes and cubic lattices. Zbl 0888.05017Deza, M.; Shtogrin, M. I. 3 1996 \(\ell_ 1\)-embeddability of some block graphs and cycloids. Zbl 0858.05015Deza, Michel; Huang, Tayuan 2 1996 Cut lattices and equiangular lines. Zbl 0849.52012Deza, M.; Grishukhin, V. P. 1 1996 Hypermetrics in geometry of numbers. Zbl 1071.52500Deza, M.; Grishukhin, V. P.; Laurent, M. 6 1995 Lattice-free polytopes and their diameter. Zbl 0817.52018Deza, M.; Onn, S. 5 1995 Delaunay polytopes of cut lattices. Zbl 0831.52006Deza, Michel; Grishukhin, Viatcheslav 3 1995 L-polytopes and equiangular lines. Zbl 0830.52004Deza, M.; Grishukhin, V. P. 3 1995 Skeletons of some relatives of the \(n\)-cube. Zbl 0939.52504Deza, Antoine; Deza, Michel 2 1995 Hypercube embedding of generalized bipartite metrics. Zbl 0821.05017Deza, Michel; Laurent, Monique 2 1995 The ridge graph of the metric polytope and some relatives. Zbl 0809.52017Deza, Antoine; Deza, Michel 24 1994 Application of cut polyhedra. I. Zbl 0826.52012Deza, Michel; Laurent, Monique 12 1994 Applications of cut polyhedra. II. Zbl 0826.52013Deza, Michel; Laurent, Monique 11 1994 Collapsing and lifting for the cut cone. Zbl 0799.90099De Simone, Caterina; Deza, Michel; Laurent, Monique 11 1994 \(\ell_ 1\)-rigid graphs. Zbl 0802.05066Deza, M.; Laurent, M. 9 1994 A few applications of negative-type inequalities. Zbl 0813.05024Deza, M.; Maehara, H. 5 1994 Lattice points of cut cones. Zbl 0824.52015Deza, Michel; Grishukhin, Vyacheslav 2 1994 On the skeleton of the dual cut polytope. Zbl 0818.52011Deza, Antoine; Deza, Michel 1 1994 The hypermetric cone is polyhedral. Zbl 0801.52009Deza, M.; Grishukhin, V. P.; Laurent, M. 19 1993 Hypermetric graphs. Zbl 0795.05120Deza, M.; Grishukhin, P. 11 1993 The inequicut cone. Zbl 0801.52006Deza, Michel; Fukuda, Komei; Laurent, Monique 7 1993 Variety of hypercube embeddings of the equidistant metric and designs. Zbl 0853.51005Deza, Michel; Laurent, Monique 6 1993 The even and odd cut polytopes. Zbl 0783.52008Deza, Michel; Laurent, Monique 6 1993 The cut cone: Simplicial faces and linear dependencies. Zbl 0779.90075Deza, Michel; Laurent, Monique 2 1993 ...and 77 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,342 Authors 66 Deza, Michel Marie 33 Laurent, Monique 32 Frankl, Péter 22 Dutour-Sikiric, Mathieu 20 Borg, Peter 20 Grishukhin, Vyacheslav Petrovich 18 Letchford, Adam N. 17 Hamada, Noboru 15 Cameron, Peter Jephson 14 Klavžar, Sandi 12 Furedi, Zoltan 11 Avis, David M. 11 Chepoi, Victor D. 11 Naor, Assaf 9 Helleseth, Tor 9 Machado, José António Tenreiro 9 Moulton, Vincent L. 8 Koolen, Jack H. 8 Ng, Timothy 8 Singhi, Navin Madhavprasad 8 Wang, Kaishun 7 Chebotarev, Pavel Yu. 7 Ellis, David Christopher 7 Guo, Jun 7 Ku, Cheng Yeaw 7 Li, Fenggao 7 Pankov, Mark 7 Poljak, Svatopluk 7 Salomaa, Kai T. 7 Shtogrin, Mikhail Ivanovich 7 Vanstone, Scott Alexander 6 Anjos, Miguel F. 6 Beneteau, Lucien 6 Huber, Katharina T. 6 Lopes, António M. 6 Neto, José 6 Rendl, Franz 6 Wang, Jun 5 Bereg, Sergey N. 5 Deza, Antoine 5 Fu, Fangwei 5 Galli, Laura 5 Maehara, Hiroshi 5 Maksimenko, Aleksandr Nikolaevich 5 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 5 Rappaport, David 5 Rosenberg, Ivo G. 5 Schürmann, Achill 5 Vallentin, Frank 5 Varvitsiotis, Antonios E. 5 Weston, Anthony 5 Zhang, Huajun 4 Bailey, Robert F. 4 Brozovic, Douglas P. 4 Chierichetti, Flavio 4 De Simone, Caterina 4 Dress, Andreas W. M. 4 Dukes, Peter James 4 Fiorini, Samuel 4 Ghorbani, Modjtaba 4 Holroyd, Fred C. 4 Hungerländer, Philipp 4 Imrich, Wilfried 4 Kumar, Ravi K. 4 Linial, Nathan 4 Liu, Jiuqiang 4 Magazinov, Alexander Nikolaevich 4 Meagher, Karen 4 Schechtman, Gideon 4 Shpectorov, Sergey Viktorovich 4 Sullivant, Seth 4 Tokushige, Norihide 4 Zhang, Heping 3 Ahlswede, Rudolf 3 Babai, László 3 Bandelt, Hans-Jürgen 3 Bannai, Eiichi 3 Bannai, Etsuko 3 Ben-Ameur, Walid 3 Boros, Endre 3 Bryant, David 3 Carbó-Dorca, Ramon 3 Cheeger, Jeff 3 Diudea, Mircea V. 3 Doust, Ian 3 Feghali, Carl 3 Friedgut, Ehud 3 Gurvich, Vladimir A. 3 Hall, Jonathan I. 3 Hurlbert, Glenn H. 3 Kabanov, Vladislav Vladimirovich 3 Kamat, Vikram 3 Kaparis, Konstantinos 3 Kardoš, František 3 Kleiner, Bruce 3 Kovše, Matjaž 3 Li, Yushuang 3 Liers, Frauke 3 Mattia, Sara 3 Morales, Linda ...and 1,242 more Authors all top 5 Cited in 256 Serials 113 European Journal of Combinatorics 101 Discrete Mathematics 54 Journal of Combinatorial Theory. Series A 44 Discrete Applied Mathematics 33 Designs, Codes and Cryptography 30 Linear Algebra and its Applications 25 Mathematical Programming. Series A. Series B 18 Discrete & Computational Geometry 17 Graphs and Combinatorics 15 Combinatorica 14 Theoretical Computer Science 12 Operations Research Letters 11 Journal of Algebraic Combinatorics 10 Advances in Mathematics 9 Journal of Combinatorial Theory. 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Second Series ...and 156 more Serials all top 5 Cited in 58 Fields 514 Combinatorics (05-XX) 164 Operations research, mathematical programming (90-XX) 155 Convex and discrete geometry (52-XX) 117 Computer science (68-XX) 106 Information and communication theory, circuits (94-XX) 88 Geometry (51-XX) 73 Group theory and generalizations (20-XX) 57 General topology (54-XX) 51 Statistics (62-XX) 45 Functional analysis (46-XX) 40 Number theory (11-XX) 34 Biology and other natural sciences (92-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 20 Probability theory and stochastic processes (60-XX) 20 Numerical analysis (65-XX) 19 Mathematical logic and foundations (03-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Algebraic geometry (14-XX) 12 Differential geometry (53-XX) 11 Operator theory (47-XX) 10 Commutative algebra (13-XX) 10 Quantum theory (81-XX) 9 Functions of a complex variable (30-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Systems theory; control (93-XX) 8 Manifolds and cell complexes (57-XX) 7 Real functions (26-XX) 7 Measure and integration (28-XX) 7 Abstract harmonic analysis (43-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Topological groups, Lie groups (22-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 4 Difference and functional equations (39-XX) 4 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Category theory; homological algebra (18-XX) 3 Potential theory (31-XX) 3 Partial differential equations (35-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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