Edit Profile Servatius, Brigitte Compute Distance To: Compute Author ID: servatius.brigitte Published as: Servatius, B.; Servatius, Brigitte External Links: MGP · Wikidata Documents Indexed: 50 Publications since 1983, including 3 Books Reviewing Activity: 92 Reviews all top 5 Co-Authors 6 single-authored 27 Servatius, Herman 6 Whiteley, Walter John 5 Droms, Carl 4 Orden, David 4 Santos, Francisco 3 Pisanski, Tomaž 3 Rote, Günter 2 Fehribach, Joseph D. 2 Graver, Jack E. 2 Haas, Ruth 2 Jackson, Bill 2 Paffenroth, Randy C. 2 Reese, Tyler M. 2 Shai, Offer 2 Souvaine, Diane L. 2 Streinu, Ileana 1 Avohou, Remi Cocou 1 Bagchi, Ansuman 1 Bonin, Joseph E. 1 Burns, Robert G. 1 Christopher, Peter R. 1 Fazekas, Péter 1 Higgins, Aparna W. 1 Imrich, Wilfried 1 Jendrol’, Stanislav 1 Jordán, Tibor 1 Karpenkov, Oleg Nikolaevich 1 Kennedy, John W. 1 Ludwig, Lewis D. 1 Milanič, Mary 1 Orbanić, Alen 1 Oxley, James G. 1 Patkar, Sachin B. 1 Randić, Milan 1 Röschel, Otto 1 Schattschneider, Doris J. 1 Schepers, Jan 1 Shi, Weigeng 1 Subrahmanyam, K. Venkata 1 Žitnik, Arjana all top 5 Serials 6 Discrete Mathematics 4 European Journal of Combinatorics 3 Beiträge zur Algebra und Geometrie 2 Pi Mu Epsilon Journal 2 Journal of Combinatorial Theory. Series B 2 SIAM Journal on Discrete Mathematics 2 Linear Algebra and its Applications 2 Ars Mathematica Contemporanea 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Obzornik za Matematiko in Fiziko 1 Mathematics Magazine 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Canadian Mathematical Bulletin 1 Journal of Graph Theory 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Discrete & Computational Geometry 1 Computational Geometry 1 Congressus Numerantium 1 The Electronic Journal of Combinatorics 1 Mathematical Communications 1 Contemporary Mathematics 1 Graduate Studies in Mathematics 1 Involve 1 Birkhäuser Advanced Texts. Basler Lehrbücher 1 The Art of Discrete and Applied Mathematics all top 5 Fields 41 Combinatorics (05-XX) 13 Convex and discrete geometry (52-XX) 8 Computer science (68-XX) 5 Group theory and generalizations (20-XX) 4 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 2 Mathematics education (97-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 38 Publications have been cited 304 times in 236 Documents Cited by ▼ Year ▼ Combinatorial rigidity. Zbl 0788.05001Graver, Jack; Servatius, Brigitte; Servatius, Herman 103 1993 Planar minimally rigid graphs and pseudo-triangulations. Zbl 1070.65014Haas, Ruth; Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Souvaine, Diane; Streinu, Ileana; Whiteley, Walter 25 2005 Constraining plane configurations in computer-aided design: combinatorics of directions and lengths. Zbl 0916.68182Servatius, Brigitte; Whiteley, Walter 22 1999 Surface subgroups of graph groups. Zbl 0677.20023Servatius, Herman; Droms, Carl; Servatius, Brigitte 15 1989 Configurations from a graphical viewpoint. Zbl 1277.05001Pisanski, Tomaž; Servatius, Brigitte 14 2013 Self-dual graphs. Zbl 0842.05016Servatius, Brigitte; Servatius, Herman 9 1996 Birigidity in the plane. Zbl 0723.05034Servatius, Brigitte 9 1989 A short proof of a theorem of Burns. Zbl 0502.20009Servatius, Brigitte 9 1983 Connectivity and planarity of Cayley graphs. Zbl 0917.05036Droms, Carl; Servatius, Brigitte; Servatius, Herman 8 1998 Construction of self-dual graphs. Zbl 0764.05023Servatius, Brigitte; Christopher, Peter R. 7 1992 Combinatorial pseudo-triangulations. Zbl 1109.05037Orden, David; Santos, Francisco; Servatius, Brigitte; Servatius, Herman 6 2007 The structure of locally finite two-connected graphs. Zbl 0829.05041Droms, Carl; Servatius, Brigitte; Servatius, Herman 6 1995 Combinatorial characterization of the Assur graphs from engineering. Zbl 1191.05077Servatius, Brigitte; Shai, Offer; Whiteley, Walter 5 2010 The 24 symmetry pairings of self-dual maps on the sphere. Zbl 0829.05021Servatius, Brigitte; Servatius, Herman 5 1995 Self-dual maps on the sphere. Zbl 0814.05031Servatius, Brigitte; Servatius, Herman 5 1994 Remarks on the intersection of finitely generated subgroups of a free group. Zbl 0545.20015Burns, R. G.; Imrich, Wilfried; Servatius, Brigitte 5 1985 The 2-dimensional rigidity of certain families of graphs. Zbl 1118.05020Jackson, Bill; Servatius, Brigitte; Servatius, Herman 4 2007 Non-crossing frameworks with non-crossing reciprocals. Zbl 1062.05047Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Whiteley, Walter 4 2004 Blanuša double. Zbl 1058.05019Orbanić, A.; Pisanski, T.; Randić, M.; Servatius, B. 4 2004 Planar minimally rigid graphs and pseudo-triangulations. Zbl 1377.68279Haas, Ruth; Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Hermann; Souvaine, Diane; Streinu, Ileana; Whiteley, Walter 4 2003 Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings. Zbl 0992.52005Servatius, Brigitte; Servatius, Herman 4 1999 Rigidity, global rigidity, and graph decomposition. Zbl 1191.05069Servatius, Brigitte; Servatius, Herman 3 2010 Geometric properties of Assur graphs. Zbl 1191.05078Servatius, Brigitte; Shai, Offer; Whiteley, Walter 3 2010 On the rigidity of Ramanujan graphs. Zbl 1012.05150Servatius, Brigitte 3 2000 Groups assembled from free and direct products. Zbl 0782.05040Droms, Carl; Servatius, Brigitte; Servatius, Herman 3 1992 Henneberg moves on mechanisms. Zbl 1367.52020Jackson, Bill; Jordán, Tibor; Servatius, Brigitte; Servatius, Herman 2 2015 On stratifications for planar tensegrities with a small number of vertices. Zbl 1303.52013Karpenkov, Oleg; Schepers, Jan; Servatius, Brigitte 2 2013 Applying Burnside’s lemma to a one-dimensional Escher problem. Zbl 1225.05064Pisanski, Tomaž; Schattschneider, Doris; Servatius, Brigitte 2 2006 Matroid theory. AMS-IMS-SIAM joint summer research conference on matroid theory, July 2–6, 1995, University of Washington, Seattle, WA, USA. Zbl 0852.00021Bonin, Joseph E. (ed.); Oxley, James G. (ed.); Servatius, Brigitte (ed.) 2 1996 Abstract rigidity in \(m\)-space. Zbl 0842.05017Graver, Jack E.; Servatius, Brigitte; Servatius, Herman 2 1994 The finite basis extension property and graph groups. Zbl 0728.20028Servatius, Herman; Droms, Carl; Servatius, Brigitte 2 1990 Matrices over finite fields and their Kirchhoff graphs. Zbl 1394.15022Reese, Tyler M.; Fehribach, Joseph D.; Paffenroth, Randy C.; Servatius, Brigitte 1 2018 On the 2-sum in rigidity matroids. Zbl 1291.05035Servatius, Brigitte; Servatius, Herman 1 2011 The generalized Reye configuration. Zbl 1210.51003Servatius, Brigitte; Servatius, Herman 1 2010 Dual-Eulerian graphs. (Translated and adapted by Arjana Žitnik). Zbl 1127.05303Servatius, Brigitte; Servatius, Herman; Žitnik, Arjana 1 2003 A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph. Zbl 0993.05056Servatius, Brigitte; Servatius, Herman 1 2002 2-satisfiability and diagnosing fault processors in massively parallel computing systems. Zbl 0836.68033Bagchi, Ansuman; Servatius, Brigitte; Shi, Weigeng 1 1995 Abstract and generic rigidity in the plane. Zbl 0804.05017Patkar, Sachin; Servatius, Brigitte; Subrahmanyam, K. V. 1 1994 Matrices over finite fields and their Kirchhoff graphs. Zbl 1394.15022Reese, Tyler M.; Fehribach, Joseph D.; Paffenroth, Randy C.; Servatius, Brigitte 1 2018 Henneberg moves on mechanisms. Zbl 1367.52020Jackson, Bill; Jordán, Tibor; Servatius, Brigitte; Servatius, Herman 2 2015 Configurations from a graphical viewpoint. Zbl 1277.05001Pisanski, Tomaž; Servatius, Brigitte 14 2013 On stratifications for planar tensegrities with a small number of vertices. Zbl 1303.52013Karpenkov, Oleg; Schepers, Jan; Servatius, Brigitte 2 2013 On the 2-sum in rigidity matroids. Zbl 1291.05035Servatius, Brigitte; Servatius, Herman 1 2011 Combinatorial characterization of the Assur graphs from engineering. Zbl 1191.05077Servatius, Brigitte; Shai, Offer; Whiteley, Walter 5 2010 Rigidity, global rigidity, and graph decomposition. Zbl 1191.05069Servatius, Brigitte; Servatius, Herman 3 2010 Geometric properties of Assur graphs. Zbl 1191.05078Servatius, Brigitte; Shai, Offer; Whiteley, Walter 3 2010 The generalized Reye configuration. Zbl 1210.51003Servatius, Brigitte; Servatius, Herman 1 2010 Combinatorial pseudo-triangulations. Zbl 1109.05037Orden, David; Santos, Francisco; Servatius, Brigitte; Servatius, Herman 6 2007 The 2-dimensional rigidity of certain families of graphs. Zbl 1118.05020Jackson, Bill; Servatius, Brigitte; Servatius, Herman 4 2007 Applying Burnside’s lemma to a one-dimensional Escher problem. Zbl 1225.05064Pisanski, Tomaž; Schattschneider, Doris; Servatius, Brigitte 2 2006 Planar minimally rigid graphs and pseudo-triangulations. Zbl 1070.65014Haas, Ruth; Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Souvaine, Diane; Streinu, Ileana; Whiteley, Walter 25 2005 Non-crossing frameworks with non-crossing reciprocals. Zbl 1062.05047Orden, David; Rote, Günter; Santos, Francisco; Servatius, Brigitte; Servatius, Herman; Whiteley, Walter 4 2004 Blanuša double. Zbl 1058.05019Orbanić, A.; Pisanski, T.; Randić, M.; Servatius, B. 4 2004 Planar minimally rigid graphs and pseudo-triangulations. Zbl 1377.68279Haas, 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 1127.05303Servatius, Brigitte; Servatius, Herman; Žitnik, Arjana 1 2003 A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph. Zbl 0993.05056Servatius, Brigitte; Servatius, Herman 1 2002 On the rigidity of Ramanujan graphs. Zbl 1012.05150Servatius, Brigitte 3 2000 Constraining plane configurations in computer-aided design: combinatorics of directions and lengths. Zbl 0916.68182Servatius, Brigitte; Whiteley, Walter 22 1999 Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings. Zbl 0992.52005Servatius, Brigitte; Servatius, Herman 4 1999 Connectivity and planarity of Cayley graphs. Zbl 0917.05036Droms, Carl; Servatius, Brigitte; Servatius, Herman 8 1998 Self-dual graphs. Zbl 0842.05016Servatius, Brigitte; Servatius, Herman 9 1996 Matroid theory. AMS-IMS-SIAM joint summer research conference on matroid theory, July 2–6, 1995, University of Washington, Seattle, WA, USA. Zbl 0852.00021Bonin, Joseph E. (ed.); Oxley, James G. (ed.); Servatius, Brigitte (ed.) 2 1996 The structure of locally finite two-connected graphs. Zbl 0829.05041Droms, Carl; Servatius, Brigitte; Servatius, Herman 6 1995 The 24 symmetry pairings of self-dual maps on the sphere. Zbl 0829.05021Servatius, Brigitte; Servatius, Herman 5 1995 2-satisfiability and diagnosing fault processors in massively parallel computing systems. Zbl 0836.68033Bagchi, Ansuman; Servatius, Brigitte; Shi, Weigeng 1 1995 Self-dual maps on the sphere. Zbl 0814.05031Servatius, Brigitte; Servatius, Herman 5 1994 Abstract rigidity in \(m\)-space. Zbl 0842.05017Graver, Jack E.; Servatius, Brigitte; Servatius, Herman 2 1994 Abstract and generic rigidity in the plane. Zbl 0804.05017Patkar, Sachin; Servatius, Brigitte; Subrahmanyam, K. V. 1 1994 Combinatorial rigidity. Zbl 0788.05001Graver, Jack; Servatius, Brigitte; Servatius, Herman 103 1993 Construction of self-dual graphs. Zbl 0764.05023Servatius, Brigitte; Christopher, Peter R. 7 1992 Groups assembled from free and direct products. Zbl 0782.05040Droms, Carl; Servatius, Brigitte; Servatius, Herman 3 1992 The finite basis extension property and graph groups. Zbl 0728.20028Servatius, Herman; Droms, Carl; Servatius, Brigitte 2 1990 Surface subgroups of graph groups. Zbl 0677.20023Servatius, Herman; Droms, Carl; Servatius, Brigitte 15 1989 Birigidity in the plane. Zbl 0723.05034Servatius, Brigitte 9 1989 Remarks on the intersection of finitely generated subgroups of a free group. Zbl 0545.20015Burns, R. G.; Imrich, Wilfried; Servatius, Brigitte 5 1985 A short proof of a theorem of Burns. Zbl 0502.20009Servatius, Brigitte 9 1983 all cited Publications top 5 cited Publications all top 5 Cited by 335 Authors 16 Jordán, Tibor 15 Jackson, Bill 15 Servatius, Brigitte 10 Tanigawa, Shin-ichi 9 Servatius, Herman 9 Whiteley, Walter John 8 Aichholzer, Oswin 8 Sitharam, Meera 7 Schulze, Bernd 6 Katoh, Naoki 6 Pisanski, Tomaž 6 Power, Stephen Charles 5 Ivanov, Sergei Vladimirovich 5 Kitson, Derek 5 Lavor, Carlile Campos 5 Liberti, Leo 5 Nixon, Anthony 5 Orden, David 4 Aurenhammer, Franz 4 Berman, Leah Wrenn 4 Georgakopoulos, Agelos 4 Gonçalves, Douglas Soares 4 Hackl, Thomas 4 Huemer, Clemens 4 Martin, Jeremy L. 4 Santos, Francisco 4 Schulz, André 4 Streinu, Ileana 4 Vogtenhuber, Birgit 3 Alfakih, Abdo Y. 3 Anderson, Brian David Outram 3 Bereg, Sergey N. 3 Cruickshank, James 3 Fekete, Zsolt 3 Grasegger, Georg 3 Karpenkov, Oleg Nikolaevich 3 Keevash, Peter 3 Mucherino, Antonio 3 Rote, Günter 3 Schicho, Josef 3 Shai, Offer 3 Speckmann, Bettina 3 Tóth, Csaba D. 3 Žitnik, Arjana 2 Alizadeh, Farid 2 Avis, David M. 2 Balasubramanian, Krishnan 2 Belabbas, Mohamed-Ali 2 Billinge, Simon J. L. 2 Capco, Jose 2 Chen, Xudong 2 Duxbury, Phillip M. 2 Faudree, Jill R. 2 Fehribach, Joseph D. 2 Gallet, Matteo 2 Gethner, Ellen 2 Holroyd, Alexander E. 2 Kaszanitzky, Viktória E. 2 Kim, Sang-Hyun 2 Király, Csaba 2 Koike, Hiroki 2 Koutschan, Christoph 2 Kovács, István 2 Krasser, Hannes 2 Krislock, Nathan 2 Lubbes, Niels 2 Mineyev, Igor 2 Nguyen, Viet-Hang 2 Ohsaki, Makoto 2 Paffenroth, Randy C. 2 Pilaud, Vincent 2 Pilz, Alexander 2 Reese, Tyler M. 2 Sitharam, Meerea 2 Sljoka, Adnan 2 Souvaine, Diane L. 2 Szabadka, Zoltán 2 Wang, Menghan 2 Willoughby, Joel 2 Ye, Yinyu 2 Yu, Changbin 1 Abdollahi, Alireza 1 Abrams, Lowell 1 Adiprasito, Karim Alexander 1 Aerts, Nieke 1 Ahn, Hyo-Sung 1 Aloui, Omar 1 Angelini, Patrizio 1 Arcak, Murat 1 Arezoomand, Majid 1 Ba, Tamer 1 Bagchi, Bhaskar 1 Baker, Timothy J. 1 Bardiaux, Benjamin 1 Barkauskas, Donald A. 1 Barnabei, Marilena 1 Başar, Tamer 1 Basch, Julien 1 Basri, Ronen 1 Belcastro, Sarah-Marie ...and 235 more Authors all top 5 Cited in 91 Serials 23 Discrete & Computational Geometry 15 Computational Geometry 14 European Journal of Combinatorics 11 Journal of Combinatorial Theory. Series B 9 Discrete Applied Mathematics 9 Discrete Mathematics 8 Graphs and Combinatorics 6 Transactions of the American Mathematical Society 5 Journal of Algebra 5 Journal of Symbolic Computation 5 International Journal of Computational Geometry & Applications 4 Advances in Mathematics 4 Journal of Pure and Applied Algebra 4 Journal of Algebraic Combinatorics 4 Algebraic & Geometric Topology 3 Information Processing Letters 3 Beiträge zur Algebra und Geometrie 3 Geometriae Dedicata 3 Advances in Applied Mathematics 3 SIAM Journal on Discrete Mathematics 3 Linear Algebra and its Applications 3 International Journal of Robust and Nonlinear Control 2 Duke Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Journal of Geometry 2 Memoirs of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Algorithmica 2 The Annals of Applied Probability 2 International Journal of Algebra and Computation 2 Mathematical Programming. Series A. Series B 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 Journal of Mathematical Chemistry 2 Geometry & Topology 2 Journal of Group Theory 2 SIAM Journal on Imaging Sciences 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 International Journal of Solids and Structures 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Automatica 1 Journal of Graph Theory 1 Mathematica Slovaca 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Studia Logica 1 Theoretical Computer Science 1 Topology and its Applications 1 Systems & Control Letters 1 Operations Research Letters 1 Combinatorica 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Information and Computation 1 Applied Mathematics Letters 1 Annals of Operations Research 1 Journal of Intelligent & Robotic Systems 1 Journal of Global Optimization 1 Designs, Codes and Cryptography 1 Expositiones Mathematicae 1 Journal of Knot Theory and its Ramifications 1 Cybernetics and Systems Analysis 1 Journal of Combinatorial Designs 1 Reliable Computing 1 Theory of Computing Systems 1 Journal of Graph Algorithms and Applications 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 4OR 1 Journal of Algebra and its Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematics and the Arts 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Topology and Analysis 1 Symmetry 1 ISRN Algebra 1 Forum of Mathematics, Sigma 1 Transactions on Combinatorics 1 Arnold Mathematical Journal 1 Journal of Combinatorial Algebra 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 34 Fields 162 Combinatorics (05-XX) 62 Convex and discrete geometry (52-XX) 42 Computer science (68-XX) 37 Group theory and generalizations (20-XX) 20 Manifolds and cell complexes (57-XX) 16 Geometry (51-XX) 12 Numerical analysis (65-XX) 9 Algebraic geometry (14-XX) 8 Mechanics of particles and systems (70-XX) 8 Operations research, mathematical programming (90-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Differential geometry (53-XX) 3 Associative rings and algebras (16-XX) 3 Algebraic topology (55-XX) 3 Information and communication theory, circuits (94-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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