Edit Profile (opens in new tab) Servatius, Herman Co-Author Distance Author ID: servatius.herman Published as: Servatius, Herman; Servatius, Hermann Further Spellings: Servatius, Herman Jacob Homepage: https://www.wpi.edu/people/faculty/hservat External Links: MGP · dblp Documents Indexed: 39 Publications since 1989, including 2 Books and 2 Additional arXiv Preprints Reviewing Activity: 86 Reviews Co-Authors: 23 Co-Authors with 37 Joint Publications 1,084 Co-Co-Authors all top 5 Co-Authors 2 single-authored 31 Servatius, Brigitte 9 Droms, Carl 4 Orden, David 4 Santos, Francisco 3 Avohou, Remi Cocou 3 Lewin, Jacques 3 Rote, Günter 3 Whiteley, Walter John 2 Graver, Jack E. 2 Haas, Ruth 2 Jackson, Bill 2 Souvaine, Diane L. 2 Streinu, Ileana 1 Connelly, Robert 1 Jendrol’, Stanislav 1 Jordán, Tibor 1 Karpenkov, Oleg Nikolaevich 1 Kennedy, John W. 1 Milanič, Martin 1 Mushtaq, Qaiser 1 Panina, Gaiane Yu. 1 Siersma, Dirk 1 Žitnik, Arjana all top 5 Serials 7 Discrete Mathematics 3 Proceedings of the American Mathematical Society 2 Beiträge zur Algebra und Geometrie 2 European Journal of Combinatorics 2 Discrete & Computational Geometry 1 Obzornik za Matematiko in Fiziko 1 Pi Mu Epsilon Journal 1 Journal of Algebra 1 Journal of Graph Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematica Slovaca 1 Computational Geometry 1 Congressus Numerantium 1 The Electronic Journal of Combinatorics 1 Graduate Studies in Mathematics 1 Ars Mathematica Contemporanea 1 European Journal of Mathematics 1 The Art of Discrete and Applied Mathematics all top 5 Fields 32 Combinatorics (05-XX) 10 Group theory and generalizations (20-XX) 9 Convex and discrete geometry (52-XX) 6 Computer science (68-XX) 4 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 416 times in 356 Documents Cited by ▼ Year ▼ Combinatorial rigidity. Zbl 0788.05001 Graver, Jack; Servatius, Brigitte; Servatius, Herman 125 1993 Automorphisms of graph groups. Zbl 0682.20022 Servatius, Herman 90 1989 Planar minimally rigid graphs and pseudo-triangulations. Zbl 1070.65014 Haas, Ruth; Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Souvaine, Diane; Streinu, Ileana; Whiteley, Walter 28 2005 Surface subgroups of graph groups. Zbl 0677.20023 Servatius, Herman; Droms, Carl; Servatius, Brigitte 21 1989 Permutation representations of the symmetry groups of regular hyperbolic tessellations. Zbl 0737.20020 Mushtaq, Qaiser; Servatius, Herman 15 1993 Self-dual graphs. Zbl 0842.05016 Servatius, Brigitte; Servatius, Herman 14 1996 The 24 symmetry pairings of self-dual maps on the sphere. Zbl 0829.05021 Servatius, Brigitte; Servatius, Herman 13 1995 Connectivity and planarity of Cayley graphs. Zbl 0917.05036 Droms, Carl; Servatius, Brigitte; Servatius, Herman 12 1998 The 2-dimensional rigidity of certain families of graphs. Zbl 1118.05020 Jackson, Bill; Servatius, Brigitte; Servatius, Herman 11 2007 Higher-order rigidity – what is the proper definition? Zbl 0793.52005 Connelly, Robert; Servatius, Herman 11 1994 Self-dual maps on the sphere. Zbl 0814.05031 Servatius, Brigitte; Servatius, Herman 9 1994 The length of elements in free solvable groups. Zbl 0798.20026 Droms, Carl; Lewin, Jacques; Servatius, Herman 8 1993 The structure of locally finite two-connected graphs. Zbl 0829.05041 Droms, Carl; Servatius, Brigitte; Servatius, Herman 7 1995 Combinatorial pseudo-triangulations. Zbl 1109.05037 Orden, David; Santos, Francisco; Servatius, Brigitte; Servatius, Herman 6 2007 Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings. Zbl 0992.52005 Servatius, Brigitte; Servatius, Herman 5 1999 Non-crossing frameworks with non-crossing reciprocals. Zbl 1062.05047 Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Whiteley, Walter 4 2004 Tree groups and the 4-string pure braid group. Zbl 0727.20019 Droms, Carl; Lewin, Jacques; Servatius, Herman 4 1991 The Cayley graphs of Coxeter and Artin groups. Zbl 0807.20036 Droms, Carl; Servatius, Herman 4 1993 Groups assembled from free and direct products. Zbl 0782.05040 Droms, Carl; Servatius, Brigitte; Servatius, Herman 4 1992 Henneberg moves on mechanisms. Zbl 1367.52020 Jackson, Bill; Jordán, Tibor; Servatius, Brigitte; Servatius, Herman 4 2015 Planar minimally rigid graphs and pseudo-triangulations. Zbl 1377.68279 Haas, Ruth; Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Hermann; Souvaine, Diane; Streinu, Ileana; Whiteley, Walter 4 2003 On the 2-sum in rigidity matroids. Zbl 1291.05035 Servatius, Brigitte; Servatius, Herman 3 2011 Rigidity, global rigidity, and graph decomposition. Zbl 1191.05069 Servatius, Brigitte; Servatius, Herman 3 2010 Abstract rigidity in \(m\)-space. Zbl 0842.05017 Graver, Jack E.; Servatius, Brigitte; Servatius, Herman 3 1994 The Tits conjecture and the five string braid group. Zbl 0717.57002 Droms, Carl; Lewin, Jacques; Servatius, Herman 2 1990 An Artin relation of length \(n\) in the braid group. Zbl 0754.05043 Servatius, Herman 2 1992 Dual-Eulerian graphs. (Translated and adapted by Arjana Žitnik). Zbl 1127.05303 Servatius, Brigitte; Servatius, Herman; Žitnik, Arjana 1 2003 A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph. Zbl 0993.05056 Servatius, Brigitte; Servatius, Herman 1 2002 The finite basis extension property and graph groups. Zbl 0728.20028 Servatius, Herman; Droms, Carl; Servatius, Brigitte 1 1990 The generalized Reye configuration. Zbl 1210.51003 Servatius, Brigitte; Servatius, Herman 1 2010 Henneberg moves on mechanisms. Zbl 1367.52020 Jackson, Bill; Jordán, Tibor; Servatius, Brigitte; Servatius, Herman 4 2015 On the 2-sum in rigidity matroids. Zbl 1291.05035 Servatius, Brigitte; Servatius, Herman 3 2011 Rigidity, global rigidity, and graph decomposition. Zbl 1191.05069 Servatius, Brigitte; Servatius, Herman 3 2010 The generalized Reye configuration. Zbl 1210.51003 Servatius, Brigitte; Servatius, Herman 1 2010 The 2-dimensional rigidity of certain families of graphs. Zbl 1118.05020 Jackson, Bill; Servatius, Brigitte; Servatius, Herman 11 2007 Combinatorial pseudo-triangulations. Zbl 1109.05037 Orden, David; Santos, Francisco; Servatius, Brigitte; Servatius, Herman 6 2007 Planar minimally rigid graphs and pseudo-triangulations. Zbl 1070.65014 Haas, Ruth; Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Souvaine, Diane; Streinu, Ileana; Whiteley, Walter 28 2005 Non-crossing frameworks with non-crossing reciprocals. Zbl 1062.05047 Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Whiteley, Walter 4 2004 Planar minimally rigid graphs and pseudo-triangulations. Zbl 1377.68279 Haas, Ruth; Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Hermann; Souvaine, Diane; Streinu, Ileana; Whiteley, Walter 4 2003 Dual-Eulerian graphs. (Translated and adapted by Arjana Žitnik). Zbl 1127.05303 Servatius, Brigitte; Servatius, Herman; Žitnik, Arjana 1 2003 A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph. Zbl 0993.05056 Servatius, Brigitte; Servatius, Herman 1 2002 Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings. Zbl 0992.52005 Servatius, Brigitte; Servatius, Herman 5 1999 Connectivity and planarity of Cayley graphs. Zbl 0917.05036 Droms, Carl; Servatius, Brigitte; Servatius, Herman 12 1998 Self-dual graphs. Zbl 0842.05016 Servatius, Brigitte; Servatius, Herman 14 1996 The 24 symmetry pairings of self-dual maps on the sphere. Zbl 0829.05021 Servatius, Brigitte; Servatius, Herman 13 1995 The structure of locally finite two-connected graphs. Zbl 0829.05041 Droms, Carl; Servatius, Brigitte; Servatius, Herman 7 1995 Higher-order rigidity – what is the proper definition? Zbl 0793.52005 Connelly, Robert; Servatius, Herman 11 1994 Self-dual maps on the sphere. Zbl 0814.05031 Servatius, Brigitte; Servatius, Herman 9 1994 Abstract rigidity in \(m\)-space. Zbl 0842.05017 Graver, Jack E.; Servatius, Brigitte; Servatius, Herman 3 1994 Combinatorial rigidity. Zbl 0788.05001 Graver, Jack; Servatius, Brigitte; Servatius, Herman 125 1993 Permutation representations of the symmetry groups of regular hyperbolic tessellations. Zbl 0737.20020 Mushtaq, Qaiser; Servatius, Herman 15 1993 The length of elements in free solvable groups. Zbl 0798.20026 Droms, Carl; Lewin, Jacques; Servatius, Herman 8 1993 The Cayley graphs of Coxeter and Artin groups. Zbl 0807.20036 Droms, Carl; Servatius, Herman 4 1993 Groups assembled from free and direct products. Zbl 0782.05040 Droms, Carl; Servatius, Brigitte; Servatius, Herman 4 1992 An Artin relation of length \(n\) in the braid group. Zbl 0754.05043 Servatius, Herman 2 1992 Tree groups and the 4-string pure braid group. Zbl 0727.20019 Droms, Carl; Lewin, Jacques; Servatius, Herman 4 1991 The Tits conjecture and the five string braid group. Zbl 0717.57002 Droms, Carl; Lewin, Jacques; Servatius, Herman 2 1990 The finite basis extension property and graph groups. Zbl 0728.20028 Servatius, Herman; Droms, Carl; Servatius, Brigitte 1 1990 Automorphisms of graph groups. Zbl 0682.20022 Servatius, Herman 90 1989 Surface subgroups of graph groups. Zbl 0677.20023 Servatius, Herman; Droms, Carl; Servatius, Brigitte 21 1989 all cited Publications top 5 cited Publications all top 5 Cited by 460 Authors 19 Jordán, Tibor 14 Servatius, Brigitte 13 Jackson, Bill 12 Servatius, Herman 9 Power, Stephen Charles 8 Aichholzer, Oswin 8 Charney, Ruth Michele 8 Koberda, Thomas 8 Mushtaq, Qaiser 8 Sitharam, Meera 7 Dewar, Sean 7 Katoh, Naoki 7 Kitson, Derek 7 Poroshenko, Evgeniĭ Nikolaevich 7 Tanigawa, Shin-ichi 6 Grasegger, Georg 6 Nixon, Anthony 6 Schulz, André 6 Whiteley, Walter John 5 Droms, Carl 5 Duncan, Andrew J. 5 Georgakopoulos, Agelos 5 Huang, Jingyin 5 Lavor, Carlile Campos 5 Liberti, Leo 5 Orden, David 5 Remeslennikov, Vladimir Nikanorovich 5 Streinu, Ileana 4 Aurenhammer, Franz 4 Cruickshank, James 4 Day, Matthew B. 4 Gonçalves, Douglas Soares 4 Gu, Xiaofeng 4 Hackl, Thomas 4 Huemer, Clemens 4 Kazachkov, Ilya V. 4 Martin, Jeremy L. 4 Martínez-Pérez, Conchita 4 Razaq, Abdul 4 Sale, Andrew W. 4 Santos, Francisco 4 Schulze, Bernd 4 Timoshenko, Evgeniĭ Iosifovich 4 Ushakov, Alexander S. 4 Vogtenhuber, Birgit 3 Abrams, Lowell 3 Aramayona, Javier 3 Bereg, Sergey N. 3 Crisp, John D. C. 3 Fekete, Zsolt 3 Flores, Ramón J. 3 Hamann, Matthias 3 Kahrobaei, Delaram 3 Kim, Sang-Hyun 3 Lee, Eonkyung 3 Lee, Sangjin 3 Mucherino, Antonio 3 Nevo, Eran 3 Ramírez Alfonsín, Jorge Luis 3 Rees, Sarah 3 Rote, Günter 3 Schicho, Josef 3 Speckmann, Bettina 3 Szabadka, Zoltán 3 Tóth, Csaba D. 3 Vogtmann, Karen 3 Wang, Menghan 3 Yousaf, Awais 2 Alfakih, Abdo Y. 2 Alizadeh, Farid 2 Avis, David M. 2 Behrstock, Jason A. 2 Belabbas, Mohamed-Ali 2 Billinge, Simon J. L. 2 Bisztriczky, Tibor 2 Brück, Benjamin 2 Capco, Jose 2 Casals-Ruiz, Montserrat 2 Chen, Xudong 2 Cioabă, Sebastian M. 2 Clinch, Katie 2 Conder, Marston Donald Edward 2 Connelly, Robert 2 Duxbury, Phillip M. 2 Erickson, Jeff 2 Everitt, Brent 2 Foufou, Sebti 2 Gallet, Matteo 2 Genevois, Anthony 2 Godelle, Eddy 2 Gortler, Steven J. 2 Guest, Simon D. 2 Heaton, Alexander 2 Higashikawa, Yuya 2 Holroyd, Alexander E. 2 Iosevich, Alex 2 Karpenkov, Oleg Nikolaevich 2 Kastis, Eleftherios 2 Kaszanitzky, Viktória E. 2 Kielak, Dawid ...and 360 more Authors all top 5 Cited in 117 Serials 18 Journal of Algebra 16 Discrete & Computational Geometry 14 Discrete Mathematics 14 Computational Geometry 13 European Journal of Combinatorics 11 International Journal of Algebra and Computation 9 Transactions of the American Mathematical Society 9 Graphs and Combinatorics 8 Discrete Applied Mathematics 8 Journal of Combinatorial Theory. Series B 8 SIAM Journal on Discrete Mathematics 7 Geometry & Topology 7 Algebraic & Geometric Topology 6 Geometriae Dedicata 6 Proceedings of the American Mathematical Society 6 The Electronic Journal of Combinatorics 5 Communications in Algebra 5 Journal of Pure and Applied Algebra 5 Journal of Symbolic Computation 4 Algebra and Logic 4 Duke Mathematical Journal 4 Journal of Mathematical Sciences (New York) 3 Information Processing Letters 3 Israel Journal of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Beiträge zur Algebra und Geometrie 3 Advances in Mathematics 3 Bulletin of the London Mathematical Society 3 Journal of Graph Theory 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Zeitschrift 3 Siberian Mathematical Journal 3 Topology and its Applications 3 International Journal of Computational Geometry & Applications 3 Journal of Knot Theory and its Ramifications 3 Journal of Algebraic Combinatorics 3 Journal of Graph Algorithms and Applications 3 Ars Mathematica Contemporanea 2 International Journal of Solids and Structures 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Journal of Combinatorial Theory. Series A 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Semigroup Forum 2 SIAM Journal on Control and Optimization 2 Advances in Applied Mathematics 2 Combinatorica 2 Acta Applicandae Mathematicae 2 The Annals of Applied Probability 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Mathematical Programming. Series A. Series B 2 Journal of Algebra and its Applications 2 Groups, Geometry, and Dynamics 2 Journal of Topology 2 SIAM Journal on Imaging Sciences 2 Electronic Journal of Graph Theory and Applications 2 Discrete Analysis 2 SIAM Journal on Applied Algebra and Geometry 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Notre Dame Journal of Formal Logic 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 Operations Research Letters 1 Computer Aided Geometric Design 1 Algorithmica 1 Information and Computation 1 Applied Mathematics Letters 1 Journal of the Ramanujan Mathematical Society 1 Annals of Operations Research 1 Journal of Global Optimization 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Expositiones Mathematicae 1 Algebra Colloquium 1 Combinatorics, Probability and Computing 1 Sbornik: Mathematics 1 Séminaire Lotharingien de Combinatoire 1 Multibody System Dynamics 1 Journal of Group Theory 1 Annals of Combinatorics 1 Journal of Integer Sequences 1 Interdisciplinary Information Sciences (IIS) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 17 more Serials all top 5 Cited in 43 Fields 197 Combinatorics (05-XX) 135 Group theory and generalizations (20-XX) 81 Convex and discrete geometry (52-XX) 50 Computer science (68-XX) 40 Manifolds and cell complexes (57-XX) 13 Numerical analysis (65-XX) 12 Algebraic geometry (14-XX) 12 Mechanics of particles and systems (70-XX) 10 Operations research, mathematical programming (90-XX) 9 Nonassociative rings and algebras (17-XX) 9 Geometry (51-XX) 8 Differential geometry (53-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Mathematical logic and foundations (03-XX) 6 Biology and other natural sciences (92-XX) 5 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX) Citations by Year