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## Servatius, Herman

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 Author ID: servatius.herman Published as: Servatius, Herman; Servatius, Hermann Homepage: https://www.wpi.edu/people/faculty/hservat External Links: MGP · dblp
 Documents Indexed: 35 Publications since 1989, including 1 Book Reviewing Activity: 85 Reviews
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#### Co-Authors

 2 single-authored 27 Servatius, Brigitte 9 Droms, Carl 4 Orden, David 4 Santos, Francisco 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 Avohou, Remi Cocou 1 Connelly, Robert 1 Jendrol’, Stanislav 1 Jordán, Tibor 1 Kennedy, John W. 1 Mushtaq, Qaiser 1 Žitnik, Arjana
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#### 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 The Art of Discrete and Applied Mathematics
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#### Fields

 29 Combinatorics (05-XX) 10 Group theory and generalizations (20-XX) 8 Convex and discrete geometry (52-XX) 6 Computer science (68-XX) 3 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 320 times in 274 Documents Cited by Year
Combinatorial rigidity. Zbl 0788.05001
Graver, Jack; Servatius, Brigitte; Servatius, Herman
1993
Automorphisms of graph groups. Zbl 0682.20022
Servatius, Herman
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
2005
Surface subgroups of graph groups. Zbl 0677.20023
Servatius, Herman; Droms, Carl; Servatius, Brigitte
1989
Permutation representations of the symmetry groups of regular hyperbolic tessellations. Zbl 0737.20020
Mushtaq, Qaiser; Servatius, Herman
1993
Self-dual graphs. Zbl 0842.05016
Servatius, Brigitte; Servatius, Herman
1996
Connectivity and planarity of Cayley graphs. Zbl 0917.05036
Droms, Carl; Servatius, Brigitte; Servatius, Herman
1998
The length of elements in free solvable groups. Zbl 0798.20026
Droms, Carl; Lewin, Jacques; Servatius, Herman
1993
Combinatorial pseudo-triangulations. Zbl 1109.05037
Orden, David; Santos, Francisco; Servatius, Brigitte; Servatius, Herman
2007
The structure of locally finite two-connected graphs. Zbl 0829.05041
Droms, Carl; Servatius, Brigitte; Servatius, Herman
1995
Higher-order rigidity – what is the proper definition? Zbl 0793.52005
Connelly, Robert; Servatius, Herman
1994
The 24 symmetry pairings of self-dual maps on the sphere. Zbl 0829.05021
Servatius, Brigitte; Servatius, Herman
1995
Self-dual maps on the sphere. Zbl 0814.05031
Servatius, Brigitte; Servatius, Herman
1994
The 2-dimensional rigidity of certain families of graphs. Zbl 1118.05020
Jackson, Bill; Servatius, Brigitte; Servatius, Herman
2007
Non-crossing frameworks with non-crossing reciprocals. Zbl 1062.05047
Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Whiteley, Walter
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
2003
Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings. Zbl 0992.52005
Servatius, Brigitte; Servatius, Herman
1999
Tree groups and the 4-string pure braid group. Zbl 0727.20019
Droms, Carl; Lewin, Jacques; Servatius, Herman
1991
Rigidity, global rigidity, and graph decomposition. Zbl 1191.05069
Servatius, Brigitte; Servatius, Herman
2010
The Cayley graphs of Coxeter and Artin groups. Zbl 0807.20036
Droms, Carl; Servatius, Herman
1993
Groups assembled from free and direct products. Zbl 0782.05040
Droms, Carl; Servatius, Brigitte; Servatius, Herman
1992
Henneberg moves on mechanisms. Zbl 1367.52020
Jackson, Bill; Jordán, Tibor; Servatius, Brigitte; Servatius, Herman
2015
Abstract rigidity in $$m$$-space. Zbl 0842.05017
Graver, Jack E.; Servatius, Brigitte; Servatius, Herman
1994
An Artin relation of length $$n$$ in the braid group. Zbl 0754.05043
Servatius, Herman
1992
The finite basis extension property and graph groups. Zbl 0728.20028
Servatius, Herman; Droms, Carl; Servatius, Brigitte
1990
On the 2-sum in rigidity matroids. Zbl 1291.05035
Servatius, Brigitte; Servatius, Herman
2011
The generalized Reye configuration. Zbl 1210.51003
Servatius, Brigitte; Servatius, Herman
2010
Dual-Eulerian graphs. (Translated and adapted by Arjana Žitnik). Zbl 1127.05303
Servatius, Brigitte; Servatius, Herman; Žitnik, Arjana
2003
A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph. Zbl 0993.05056
Servatius, Brigitte; Servatius, Herman
2002
The Tits conjecture and the five string braid group. Zbl 0717.57002
Droms, Carl; Lewin, Jacques; Servatius, Herman
1990
Henneberg moves on mechanisms. Zbl 1367.52020
Jackson, Bill; Jordán, Tibor; Servatius, Brigitte; Servatius, Herman
2015
On the 2-sum in rigidity matroids. Zbl 1291.05035
Servatius, Brigitte; Servatius, Herman
2011
Rigidity, global rigidity, and graph decomposition. Zbl 1191.05069
Servatius, Brigitte; Servatius, Herman
2010
The generalized Reye configuration. Zbl 1210.51003
Servatius, Brigitte; Servatius, Herman
2010
Combinatorial pseudo-triangulations. Zbl 1109.05037
Orden, David; Santos, Francisco; Servatius, Brigitte; Servatius, Herman
2007
The 2-dimensional rigidity of certain families of graphs. Zbl 1118.05020
Jackson, Bill; Servatius, Brigitte; Servatius, Herman
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
2005
Non-crossing frameworks with non-crossing reciprocals. Zbl 1062.05047
Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Whiteley, Walter
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
2003
Dual-Eulerian graphs. (Translated and adapted by Arjana Žitnik). Zbl 1127.05303
Servatius, Brigitte; Servatius, Herman; Žitnik, Arjana
2003
A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph. Zbl 0993.05056
Servatius, Brigitte; Servatius, Herman
2002
Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings. Zbl 0992.52005
Servatius, Brigitte; Servatius, Herman
1999
Connectivity and planarity of Cayley graphs. Zbl 0917.05036
Droms, Carl; Servatius, Brigitte; Servatius, Herman
1998
Self-dual graphs. Zbl 0842.05016
Servatius, Brigitte; Servatius, Herman
1996
The structure of locally finite two-connected graphs. Zbl 0829.05041
Droms, Carl; Servatius, Brigitte; Servatius, Herman
1995
The 24 symmetry pairings of self-dual maps on the sphere. Zbl 0829.05021
Servatius, Brigitte; Servatius, Herman
1995
Higher-order rigidity – what is the proper definition? Zbl 0793.52005
Connelly, Robert; Servatius, Herman
1994
Self-dual maps on the sphere. Zbl 0814.05031
Servatius, Brigitte; Servatius, Herman
1994
Abstract rigidity in $$m$$-space. Zbl 0842.05017
Graver, Jack E.; Servatius, Brigitte; Servatius, Herman
1994
Combinatorial rigidity. Zbl 0788.05001
Graver, Jack; Servatius, Brigitte; Servatius, Herman
1993
Permutation representations of the symmetry groups of regular hyperbolic tessellations. Zbl 0737.20020
Mushtaq, Qaiser; Servatius, Herman
1993
The length of elements in free solvable groups. Zbl 0798.20026
Droms, Carl; Lewin, Jacques; Servatius, Herman
1993
The Cayley graphs of Coxeter and Artin groups. Zbl 0807.20036
Droms, Carl; Servatius, Herman
1993
Groups assembled from free and direct products. Zbl 0782.05040
Droms, Carl; Servatius, Brigitte; Servatius, Herman
1992
An Artin relation of length $$n$$ in the braid group. Zbl 0754.05043
Servatius, Herman
1992
Tree groups and the 4-string pure braid group. Zbl 0727.20019
Droms, Carl; Lewin, Jacques; Servatius, Herman
1991
The finite basis extension property and graph groups. Zbl 0728.20028
Servatius, Herman; Droms, Carl; Servatius, Brigitte
1990
The Tits conjecture and the five string braid group. Zbl 0717.57002
Droms, Carl; Lewin, Jacques; Servatius, Herman
1990
Automorphisms of graph groups. Zbl 0682.20022
Servatius, Herman
1989
Surface subgroups of graph groups. Zbl 0677.20023
Servatius, Herman; Droms, Carl; Servatius, Brigitte
1989
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#### Cited by 356 Authors

 15 Jordán, Tibor 14 Servatius, Brigitte 12 Servatius, Herman 9 Sitharam, Meera 8 Aichholzer, Oswin 8 Jackson, Bill 8 Mushtaq, Qaiser 7 Charney, Ruth M. 7 Poroshenko, Evgeniĭ Nikolaevich 7 Tanigawa, Shin-ichi 7 Whiteley, Walter John 6 Duncan, Andrew J. 6 Katoh, Naoki 6 Koberda, Thomas 6 Schulze, Bernd 5 Droms, Carl 5 Kitson, Derek 5 Lavor, Carlile Campos 5 Liberti, Leo 5 Orden, David 5 Power, Stephen Charles 5 Remeslennikov, Vladimir Nikanorovich 4 Aurenhammer, Franz 4 Day, Matthew B. 4 Georgakopoulos, Agelos 4 Gonçalves, Douglas Soares 4 Hackl, Thomas 4 Huang, Jingyin 4 Huemer, Clemens 4 Kazachkov, Ilya V. 4 Martin, Jeremy L. 4 Razaq, Abdul 4 Santos, Francisco 4 Schulz, André 4 Streinu, Ileana 4 Ushakov, Alexander S. 4 Vogtenhuber, Birgit 3 Alfakih, Abdo Y. 3 Aramayona, Javier 3 Bereg, Sergey N. 3 Crisp, John D. C. 3 Cruickshank, James 3 Fekete, Zsolt 3 Grasegger, Georg 3 Kim, Sang-Hyun 3 Martínez-Pérez, Conchita 3 Mucherino, Antonio 3 Nixon, Anthony 3 Ohsaki, Makoto 3 Rees, Sarah 3 Rote, Günter 3 Sale, Andrew W. 3 Schicho, Josef 3 Speckmann, Bettina 3 Timoshenko, Evgeniĭ Iosifovich 3 Tóth, Csaba D. 3 Yousaf, Awais 2 Alizadeh, Farid 2 Avis, David M. 2 Belabbas, Mohamed-Ali 2 Billinge, Simon J. L. 2 Capco, Jose 2 Casals-Ruiz, Montserrat 2 Chen, Xudong 2 Connelly, Robert 2 Dewar, Sean 2 Duxbury, Phillip M. 2 Everitt, Brent 2 Flores, Ramón J. 2 Gallet, Matteo 2 Genevois, Anthony 2 Godelle, Eddy 2 Gortler, Steven J. 2 Guest, Simon D. 2 Holroyd, Alexander E. 2 Kahrobaei, Delaram 2 Karpenkov, Oleg Nikolaevich 2 Kaszanitzky, Viktória E. 2 Kielak, Dawid 2 Király, Csaba 2 Kleiner, Bruce 2 Koutschan, Christoph 2 Krasser, Hannes 2 Krislock, Nathan 2 Lubbes, Niels 2 Lysenok, Igor’ Geront’evich 2 Myasnikov, Alexei G. 2 Nedela, Roman 2 Paolini, Gianluca 2 Pilaud, Vincent 2 Pilz, Alexander 2 Roman’kov, Vitaly Anatol’evich 2 Sabitov, Idzhad Khakovich 2 Shai, Offer 2 Souvaine, Diane L. 2 Szabadka, Zoltán 2 Tokushige, Norihide 2 Torquato, Salvatore 2 Wang, Menghan 2 Wiest, Bertold ...and 256 more Authors
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#### Cited in 92 Serials

 18 Discrete & Computational Geometry 16 Journal of Algebra 14 Computational Geometry 12 Discrete Mathematics 11 European Journal of Combinatorics 10 International Journal of Algebra and Computation 8 Discrete Applied Mathematics 8 Transactions of the American Mathematical Society 7 Journal of Combinatorial Theory. Series B 7 Graphs and Combinatorics 7 Geometry & Topology 7 Algebraic & Geometric Topology 6 Proceedings of the American Mathematical Society 6 Journal of Symbolic Computation 5 Communications in Algebra 5 Geometriae Dedicata 5 Journal of Pure and Applied Algebra 4 Algebra and Logic 4 SIAM Journal on Discrete Mathematics 3 Information Processing Letters 3 Israel Journal of Mathematics 3 Beiträge zur Algebra und Geometrie 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Mathematische Zeitschrift 3 International Journal of Computational Geometry & Applications 3 Journal of Algebraic Combinatorics 3 Journal of Mathematical Sciences (New York) 2 International Journal of Solids and Structures 2 Mathematical Notes 2 Journal of Combinatorial Theory. Series A 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Siberian Mathematical Journal 2 Topology and its Applications 2 Advances in Applied Mathematics 2 Acta Applicandae Mathematicae 2 The Annals of Applied Probability 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Mathematical Programming. Series A. Series B 2 Journal of Knot Theory and its Ramifications 2 Journal of Topology 2 SIAM Journal on Imaging Sciences 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Graph Theory 1 Mathematica Slovaca 1 Notre Dame Journal of Formal Logic 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 Operations Research Letters 1 Combinatorica 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 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 SIAM Review 1 Expositiones Mathematicae 1 Algebra Colloquium 1 The Electronic Journal of Combinatorics 1 Sbornik: Mathematics 1 Journal of Graph Algorithms and Applications 1 Journal of Group Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 4OR 1 Journal of Algebra and its Applications 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematics and the Arts 1 Mathematics in Computer Science 1 Groups, Geometry, and Dynamics 1 Journal of Physics A: Mathematical and Theoretical 1 Groups, Complexity, Cryptology 1 International Journal of Group Theory 1 ISRN Algebra 1 Forum of Mathematics, Sigma 1 Axioms 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 38 Fields

 155 Combinatorics (05-XX) 101 Group theory and generalizations (20-XX) 54 Convex and discrete geometry (52-XX) 38 Computer science (68-XX) 28 Manifolds and cell complexes (57-XX) 11 Numerical analysis (65-XX) 9 Operations research, mathematical programming (90-XX) 8 Algebraic geometry (14-XX) 8 Geometry (51-XX) 8 Mechanics of particles and systems (70-XX) 7 Nonassociative rings and algebras (17-XX) 7 Differential geometry (53-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Biology and other natural sciences (92-XX) 5 Mathematical logic and foundations (03-XX) 4 Associative rings and algebras (16-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 3 Mechanics of deformable solids (74-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-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 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX)