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Author ID: servatius.herman Recent zbMATH articles by "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

Publications by Year

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 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