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Servatius, Herman

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Author ID: servatius.herman Recent zbMATH articles by "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

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 309 times in 271 Documents Cited by Year
Combinatorial rigidity. Zbl 0788.05001
Graver, Jack; Servatius, Brigitte; Servatius, Herman
94
1993
Automorphisms of graph groups. Zbl 0682.20022
Servatius, Herman
69
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
22
2005
Surface subgroups of graph groups. Zbl 0677.20023
Servatius, Herman; Droms, Carl; Servatius, Brigitte
17
1989
Permutation representations of the symmetry groups of regular hyperbolic tessellations. Zbl 0737.20020
Mushtaq, Qaiser; Servatius, Herman
14
1993
Connectivity and planarity of Cayley graphs. Zbl 0917.05036
Droms, Carl; Servatius, Brigitte; Servatius, Herman
9
1998
Self-dual graphs. Zbl 0842.05016
Servatius, Brigitte; Servatius, Herman
9
1996
The length of elements in free solvable groups. Zbl 0798.20026
Droms, Carl; Lewin, Jacques; Servatius, Herman
8
1993
Higher-order rigidity – what is the proper definition? Zbl 0793.52005
Connelly, Robert; Servatius, Herman
6
1994
Self-dual maps on the sphere. Zbl 0814.05031
Servatius, Brigitte; Servatius, Herman
6
1994
The 24 symmetry pairings of self-dual maps on the sphere. Zbl 0829.05021
Servatius, Brigitte; Servatius, Herman
6
1995
Combinatorial pseudo-triangulations. Zbl 1109.05037
Orden, David; Santos, Francisco; Servatius, Brigitte; Servatius, Herman
5
2007
Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings. Zbl 0992.52005
Servatius, Brigitte; Servatius, Herman
4
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
The structure of locally finite two-connected graphs. Zbl 0829.05041
Droms, Carl; Servatius, Brigitte; Servatius, Herman
4
1995
Tree groups and the 4-string pure braid group. Zbl 0727.20019
Droms, Carl; Lewin, Jacques; Servatius, Herman
4
1991
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
The 2-dimensional rigidity of certain families of graphs. Zbl 1118.05020
Jackson, Bill; Servatius, Brigitte; Servatius, Herman
4
2007
The Cayley graphs of Coxeter and Artin groups. Zbl 0807.20036
Droms, Carl; Servatius, Herman
3
1993
Groups assembled from free and direct products. Zbl 0782.05040
Droms, Carl; Servatius, Brigitte; Servatius, Herman
3
1992
Rigidity, global rigidity, and graph decomposition. Zbl 1191.05069
Servatius, Brigitte; Servatius, Herman
3
2010
An Artin relation of length \(n\) in the braid group. Zbl 0754.05043
Servatius, Herman
2
1992
Henneberg moves on mechanisms. Zbl 1367.52020
Jackson, Bill; Jordán, Tibor; Servatius, Brigitte; Servatius, Herman
2
2015
A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph. Zbl 0993.05056
Servatius, Brigitte; Servatius, Herman
1
2002
Abstract rigidity in \(m\)-space. Zbl 0842.05017
Graver, Jack E.; Servatius, Brigitte; Servatius, Herman
1
1994
The Tits conjecture and the five string braid group. Zbl 0717.57002
Droms, Carl; Lewin, Jacques; Servatius, Herman
1
1990
The finite basis extension property and graph groups. Zbl 0728.20028
Servatius, Herman; Droms, Carl; Servatius, Brigitte
1
1990
On the 2-sum in rigidity matroids. Zbl 1291.05035
Servatius, Brigitte; Servatius, Herman
1
2011
The generalized Reye configuration. Zbl 1210.51003
Servatius, Brigitte; Servatius, Herman
1
2010
Dual-Eulerian graphs. (Translated and adapted by Arjana Žitnik). Zbl 1127.05303
Servatius, Brigitte; Servatius, Herman; Žitnik, Arjana
1
2003
Henneberg moves on mechanisms. Zbl 1367.52020
Jackson, Bill; Jordán, Tibor; Servatius, Brigitte; Servatius, Herman
2
2015
On the 2-sum in rigidity matroids. Zbl 1291.05035
Servatius, Brigitte; Servatius, Herman
1
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
Combinatorial pseudo-triangulations. Zbl 1109.05037
Orden, David; Santos, Francisco; Servatius, Brigitte; Servatius, Herman
5
2007
The 2-dimensional rigidity of certain families of graphs. Zbl 1118.05020
Jackson, Bill; Servatius, Brigitte; Servatius, Herman
4
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
22
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
4
1999
Connectivity and planarity of Cayley graphs. Zbl 0917.05036
Droms, Carl; Servatius, Brigitte; Servatius, Herman
9
1998
Self-dual graphs. Zbl 0842.05016
Servatius, Brigitte; Servatius, Herman
9
1996
The 24 symmetry pairings of self-dual maps on the sphere. Zbl 0829.05021
Servatius, Brigitte; Servatius, Herman
6
1995
The structure of locally finite two-connected graphs. Zbl 0829.05041
Droms, Carl; Servatius, Brigitte; Servatius, Herman
4
1995
Higher-order rigidity – what is the proper definition? Zbl 0793.52005
Connelly, Robert; Servatius, Herman
6
1994
Self-dual maps on the sphere. Zbl 0814.05031
Servatius, Brigitte; Servatius, Herman
6
1994
Abstract rigidity in \(m\)-space. Zbl 0842.05017
Graver, Jack E.; Servatius, Brigitte; Servatius, Herman
1
1994
Combinatorial rigidity. Zbl 0788.05001
Graver, Jack; Servatius, Brigitte; Servatius, Herman
94
1993
Permutation representations of the symmetry groups of regular hyperbolic tessellations. Zbl 0737.20020
Mushtaq, Qaiser; Servatius, Herman
14
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
3
1993
Groups assembled from free and direct products. Zbl 0782.05040
Droms, Carl; Servatius, Brigitte; Servatius, Herman
3
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
1
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
69
1989
Surface subgroups of graph groups. Zbl 0677.20023
Servatius, Herman; Droms, Carl; Servatius, Brigitte
17
1989
all top 5

Cited by 350 Authors

14 Jordán, Tibor
12 Servatius, Brigitte
12 Servatius, Herman
8 Aichholzer, Oswin
8 Mushtaq, Qaiser
7 Charney, Ruth M.
7 Jackson, Bill
7 Poroshenko, Evgeniĭ Nikolaevich
6 Katoh, Naoki
6 Koberda, Thomas
6 Power, Stephen Charles
6 Sitharam, Meera
6 Tanigawa, Shin-ichi
5 Droms, Carl
5 Duncan, Andrew J.
5 Kitson, Derek
5 Lavor, Carlile Campos
5 Liberti, Leo
5 Orden, David
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 Martínez-Pérez, Conchita
4 Razaq, Abdul
4 Santos, Francisco
4 Schulz, André
4 Schulze, Bernd
4 Streinu, Ileana
4 Ushakov, Alexander S.
4 Vogtenhuber, Birgit
4 Whiteley, Walter John
3 Aramayona, Javier
3 Bereg, Sergey N.
3 Crisp, John D. C.
3 Cruickshank, James
3 Dewar, Sean
3 Fekete, Zsolt
3 Grasegger, Georg
3 Kim, Sang-Hyun
3 Mucherino, Antonio
3 Nixon, Anthony
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 Duxbury, Phillip M.
2 Everitt, Brent
2 Flores, Ramón J.
2 Gallet, Matteo
2 Genevois, Anthony
2 Godelle, Eddy
2 Gortler, Steven J.
2 Gu, Xiaofeng
2 Guest, Simon D.
2 Holroyd, Alexander E.
2 Kahrobaei, Delaram
2 Karpenkov, Oleg Nikolaevich
2 Kastis, Eleftherios
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 Ohsaki, Makoto
2 Paolini, Gianluca
2 Pilaud, Vincent
2 Pilz, Alexander
2 Roman’kov, Vitaly Anatol’evich
2 Sabitov, Idzhad Khakovich
2 Souvaine, Diane L.
2 Szabadka, Zoltán
2 Tokushige, Norihide
2 Vogtmann, Karen
2 Wang, Menghan
2 Wiest, Bertold
...and 250 more Authors
all top 5

Cited in 94 Serials

16 Journal of Algebra
16 Discrete & Computational Geometry
14 Computational Geometry
12 Discrete Mathematics
10 International Journal of Algebra and Computation
9 European Journal of Combinatorics
8 Transactions of the American Mathematical Society
7 Graphs and Combinatorics
7 Geometry & Topology
7 Algebraic & Geometric Topology
6 Discrete Applied Mathematics
6 Journal of Combinatorial Theory. Series B
6 Proceedings of the American Mathematical Society
5 Communications in Algebra
5 Geometriae Dedicata
5 Journal of Pure and Applied Algebra
4 Algebra and Logic
4 Journal of Symbolic Computation
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 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
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
2 Electronic Journal of Graph Theory and Applications
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
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 Semigroup Forum
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 SIAM Journal on Applied Mathematics
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
all top 5

Cited in 38 Fields

149 Combinatorics (05-XX)
105 Group theory and generalizations (20-XX)
53 Convex and discrete geometry (52-XX)
36 Computer science (68-XX)
28 Manifolds and cell complexes (57-XX)
11 Numerical analysis (65-XX)
8 Algebraic geometry (14-XX)
8 Nonassociative rings and algebras (17-XX)
8 Geometry (51-XX)
7 Differential geometry (53-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Operations research, mathematical programming (90-XX)
6 Mechanics of particles and systems (70-XX)
6 Biology and other natural sciences (92-XX)
5 Mathematical logic and foundations (03-XX)
4 Linear and multilinear algebra; matrix theory (15-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 Commutative algebra (13-XX)
3 Topological groups, Lie groups (22-XX)
2 Ordinary differential equations (34-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Abstract harmonic analysis (43-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 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Mathematics education (97-XX)

Citations by Year