# zbMATH — the first resource for mathematics

## Graver, Jack E.

Compute Distance To:
 Author ID: graver.jack-e Published as: Graver, J. E.; Graver, Jack; Graver, Jack E.
 Documents Indexed: 44 Publications since 1964, including 4 Books Reviewing Activity: 278 Reviews
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#### Co-Authors

 17 single-authored 6 Watkins, Mark E. 5 Hartung, Elizabeth J. 3 Jurkat, Wolfgang B. 2 Doyle, John Kevin 2 Graves, Christina M. 2 Servatius, Brigitte 2 Servatius, Herman 2 Yackel, Jonathan 1 Brinkmann, Gunnar 1 Campbell, Donald E. 1 Cargo, Gerald T. 1 Edmond, Jennifer J. 1 Frucht, Roberto Wertheimer 1 Graves, Stephen J. 1 Justus, Claudia 1 Kelly, Jerry S. 1 Sobel, Milton 1 Souid, Ahmed Y.
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#### Serials

 3 Journal of Combinatorial Theory. Series B 3 SIAM Journal on Discrete Mathematics 3 Journal of Mathematical Chemistry 3 Ars Mathematica Contemporanea 2 Journal of Combinatorial Theory. Series A 2 European Journal of Combinatorics 2 MATCH - Communications in Mathematical and in Computer Chemistry 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal of Algebra 1 Journal of Graph Theory 1 Mathematical Programming 1 Memoirs of the American Mathematical Society 1 Mathematical Social Sciences 1 Social Choice and Welfare 1 Communications in Statistics. Theory and Methods 1 Linear Algebra and its Applications 1 Scientia. Series A: Mathematical Sciences 1 The Electronic Journal of Combinatorics 1 Proceedings of the Cambridge Philosophical Society 1 Bulletin of the American Mathematical Society 1 Journal of Combinatorial Theory 1 Journal of Mathematics and Mechanics 1 Annals of the New York Academy of Sciences 1 The Dolciani Mathematical Expositions 1 Graduate Studies in Mathematics 1 Graduate Texts in Mathematics 1 Symmetry
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#### Fields

 35 Combinatorics (05-XX) 12 Biology and other natural sciences (92-XX) 4 Convex and discrete geometry (52-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH

34 Publications have been cited 479 times in 447 Documents Cited by Year
Combinatorial rigidity. Zbl 0788.05001
Graver, Jack; Servatius, Brigitte; Servatius, Herman
1993
The groups of the generalized Petersen graphs. Zbl 0221.05069
Frucht, Roberto; Graver, Jack E.; Watkins, Mark E.
1971
The module structure of integral designs. Zbl 0259.05020
Graver, J. E.; Jurkat, W. B.
1973
Some graph theoretic results associated with Ramsey’s theorem. Zbl 0191.22504
Graver, J. E.; Yackel, J.
1968
On the foundations of linear and integer linear programming. I. Zbl 0323.90035
Graver, Jack E.
1975
Mean distance in a graph. Zbl 0361.05045
Doyle, J. K.; Graver, J. E.
1977
Combinatorics with emphasis on the theory of graphs. Zbl 0367.05001
Graver, Jack E.; Watkins, Mark E.
1977
Locally finite, planar, edge-transitive graphs. Zbl 0901.05087
Graver, Jack E.; Watkins, Mark E.
1997
Counting on frameworks. Mathematics to aid the design of rigid structures. Zbl 0982.52019
Graver, Jack E.
2001
Boolean designs and self-dual matroids. Zbl 0301.05012
Graver, Jack E.
1975
Kekulé structures and the face independence number of a fullerene. Zbl 1108.92049
Graver, Jack E.
2007
The independence numbers of fullerenes and benzenoids. Zbl 1088.05070
Graver, Jack E.
2006
Catalog of all fullerenes with ten or more symmetries. Zbl 1094.92065
Graver, Jack E.
2005
Encoding fullerenes and geodesic domes. Zbl 1055.05036
Graver, Jack E.
2004
A survey of the maximum depth problem for indecomposable exact covers. Zbl 0306.05015
Graver, J. E.
1975
Rigidity matroids. Zbl 0758.05035
Graver, Jack E.
1991
Numbers of faces in disordered patches. Zbl 1260.92125
Brinkmann, Gunnar; Graver, Jack E.; Justus, Claudia
2009
Algebra structures for general designs. Zbl 0251.05022
Graver, J. E.; Jurkat, W. B.
1972
A characterization of symmetric block designs. Zbl 0242.05008
Graver, Jack E.
1972
The structure of fullerene signatures. Zbl 1093.92063
Graver, Jack E.
2005
Clar and fries numbers for benzenoids. Zbl 1320.92079
Graver, Jack E.; Hartung, Elizabeth J.; Souid, Ahmed Y.
2013
Fullerene patches I. Zbl 1221.05082
Graver, Jack E.; Graves, Christina M.
2010
The $$(m,k)$$-patch boundary code problem. Zbl 1052.52014
Graver, Jack E.
2003
Abstract rigidity in $$m$$-space. Zbl 0842.05017
Graver, Jack E.; Servatius, Brigitte; Servatius, Herman
1994
A characterization of finite planar primitive graphs. Zbl 0691.05014
Graver, Jack E.; Watkins, Mark E.
1988
Remarks on the parameters of a system of sets. Zbl 0235.05011
Graver, Jack E.
1970
An upper bound for Ramsey numbers. Zbl 0149.21304
Graver, J. E.; Yackel, J.
1966
An analytic triangulation od an arbitrary real analytic variety. Zbl 0137.42601
Graver, J. E.
1964
Lobe, edge, and arc transitivity of graphs of connectivity 1. Zbl 07172062
Graver, Jack E.; Watkins, Mark E.
2019
Fullerene patches. II. Zbl 1306.05038
Graver, Jack E.; Graves, Christina; Graves, Stephen J.
2014
There are more strategy-proof procedures than you think. Zbl 1260.91074
Campbell, Donald E.; Graver, Jack; Kelly, Jerry S.
2012
A note on natural correspondences that satisfy exclusion. Zbl 1134.91016
Graver, Jack E.
2007
Mean distance for shapes. Zbl 0502.05055
Doyle, J. K.; Graver, J. E.
1982
f-factors and related decompositions of graphs. Zbl 0451.05035
Graver, J. E.; Jurkat, W. B.
1980
Lobe, edge, and arc transitivity of graphs of connectivity 1. Zbl 07172062
Graver, Jack E.; Watkins, Mark E.
2019
Fullerene patches. II. Zbl 1306.05038
Graver, Jack E.; Graves, Christina; Graves, Stephen J.
2014
Clar and fries numbers for benzenoids. Zbl 1320.92079
Graver, Jack E.; Hartung, Elizabeth J.; Souid, Ahmed Y.
2013
There are more strategy-proof procedures than you think. Zbl 1260.91074
Campbell, Donald E.; Graver, Jack; Kelly, Jerry S.
2012
Fullerene patches I. Zbl 1221.05082
Graver, Jack E.; Graves, Christina M.
2010
Numbers of faces in disordered patches. Zbl 1260.92125
Brinkmann, Gunnar; Graver, Jack E.; Justus, Claudia
2009
Kekulé structures and the face independence number of a fullerene. Zbl 1108.92049
Graver, Jack E.
2007
A note on natural correspondences that satisfy exclusion. Zbl 1134.91016
Graver, Jack E.
2007
The independence numbers of fullerenes and benzenoids. Zbl 1088.05070
Graver, Jack E.
2006
Catalog of all fullerenes with ten or more symmetries. Zbl 1094.92065
Graver, Jack E.
2005
The structure of fullerene signatures. Zbl 1093.92063
Graver, Jack E.
2005
Encoding fullerenes and geodesic domes. Zbl 1055.05036
Graver, Jack E.
2004
The $$(m,k)$$-patch boundary code problem. Zbl 1052.52014
Graver, Jack E.
2003
Counting on frameworks. Mathematics to aid the design of rigid structures. Zbl 0982.52019
Graver, Jack E.
2001
Locally finite, planar, edge-transitive graphs. Zbl 0901.05087
Graver, Jack E.; Watkins, Mark E.
1997
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
Rigidity matroids. Zbl 0758.05035
Graver, Jack E.
1991
A characterization of finite planar primitive graphs. Zbl 0691.05014
Graver, Jack E.; Watkins, Mark E.
1988
Mean distance for shapes. Zbl 0502.05055
Doyle, J. K.; Graver, J. E.
1982
f-factors and related decompositions of graphs. Zbl 0451.05035
Graver, J. E.; Jurkat, W. B.
1980
Mean distance in a graph. Zbl 0361.05045
Doyle, J. K.; Graver, J. E.
1977
Combinatorics with emphasis on the theory of graphs. Zbl 0367.05001
Graver, Jack E.; Watkins, Mark E.
1977
On the foundations of linear and integer linear programming. I. Zbl 0323.90035
Graver, Jack E.
1975
Boolean designs and self-dual matroids. Zbl 0301.05012
Graver, Jack E.
1975
A survey of the maximum depth problem for indecomposable exact covers. Zbl 0306.05015
Graver, J. E.
1975
The module structure of integral designs. Zbl 0259.05020
Graver, J. E.; Jurkat, W. B.
1973
Algebra structures for general designs. Zbl 0251.05022
Graver, J. E.; Jurkat, W. B.
1972
A characterization of symmetric block designs. Zbl 0242.05008
Graver, Jack E.
1972
The groups of the generalized Petersen graphs. Zbl 0221.05069
Frucht, Roberto; Graver, Jack E.; Watkins, Mark E.
1971
Remarks on the parameters of a system of sets. Zbl 0235.05011
Graver, Jack E.
1970
Some graph theoretic results associated with Ramsey’s theorem. Zbl 0191.22504
Graver, J. E.; Yackel, J.
1968
An upper bound for Ramsey numbers. Zbl 0149.21304
Graver, J. E.; Yackel, J.
1966
An analytic triangulation od an arbitrary real analytic variety. Zbl 0137.42601
Graver, J. E.
1964
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#### Cited by 586 Authors

 15 Jordán, Tibor 15 Marušič, Dragan 11 Hemmecke, Raymond 11 Khosrovshahi, Gholamreza B. 11 Weismantel, Robert 10 Singhi, Navin Madhavprasad 9 Graver, Jack E. 9 Kutnar, Klavdija 8 Dankelmann, Peter 8 Frankl, Péter 8 Jackson, Bill 8 Onn, Shmuel 8 Servatius, Brigitte 8 Sitharam, Meera 8 Watkins, Mark E. 7 Malnič, Aleksander 7 Miklavič, Štefko 7 Pisanski, Tomaž 7 Whiteley, Walter John 6 Kardoš, František 6 Tanigawa, Shin-ichi 6 Wilson, Richard Michael 5 Deza, Michel Marie 5 Katoh, Naoki 5 Kitson, Derek 5 Lavor, Carlile Campos 5 Liberti, Leo 5 Parsons, Torrence D. 5 Schulze, Bernd 5 Servatius, Herman 5 Šparl, Primož 5 Zhou, Jinxin 4 De Loera, Jesús A. 4 Gonçalves, Douglas Soares 4 Hartung, Elizabeth J. 4 Jajcay, Robert 4 Kovács, István 4 Lee, Jon 4 Martin, Jeremy L. 4 Power, Stephen Charles 4 Raychaudhuri, D. K. 4 Streinu, Ileana 3 Alfakih, Abdo Y. 3 Bereg, Sergey N. 3 Blair, Charles E. 3 Borgwardt, Steffen 3 Connelly, Robert 3 Cruickshank, James 3 Došlić, Tomislav 3 Erdős, Pál 3 Fekete, Zsolt 3 Ghorbani, Ebrahim 3 Ghorbani, Modjtaba 3 Grasegger, Georg 3 Hedayat, Abdossamad 3 Hubard, Isabel 3 Jeroslow, Robert G. 3 Jones, Gareth A. 3 Klavžar, Sandi 3 Liu, Xiaodong 3 Lovrečič Saražin, Marko 3 Maysoori, Ch. 3 Mucherino, Antonio 3 Orden, David 3 Pellicer, Daniel 3 Praeger, Cheryl Elisabeth 3 Santos, Francisco 3 Schicho, Josef 3 Škrekovski, Riste 3 Ye, Dong 2 Alizadeh, Farid 2 Alon, Noga M. 2 Alsuwaiyel, Muhammad H. 2 Avis, David M. 2 Behzad, Mehdi 2 Belabbas, Mohamed-Ali 2 Bier, Thomas 2 Billinge, Simon J. L. 2 Capco, Jose 2 Chai, Tianyou 2 Chartrand, Gary Theodore 2 Chen, Xudong 2 Conder, Marston D. E. 2 Crapo, Henry H. 2 Duxbury, Phillip M. 2 Feng, Yanquan 2 Finhold, Elisabeth 2 Fowler, Patrick W. 2 Furedi, Zoltan 2 Gallet, Matteo 2 Graham, Ronald Lewis 2 Gutman, Ivan M. 2 Holroyd, Alexander E. 2 Hsu, Lihhsing 2 Hwang, H. L. 2 Jacobson, Michael Scott 2 Jurkat, Wolfgang B. 2 Kaszanitzky, Viktória E. 2 Keevash, Peter 2 Király, Csaba ...and 486 more Authors
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#### Cited in 118 Serials

 59 Discrete Mathematics 34 Discrete Applied Mathematics 28 Journal of Combinatorial Theory. Series B 25 European Journal of Combinatorics 22 Journal of Combinatorial Theory. Series A 17 Discrete & Computational Geometry 11 Mathematical Programming. Series A. Series B 10 Graphs and Combinatorics 9 Journal of Mathematical Chemistry 8 Linear Algebra and its Applications 8 Journal of Algebraic Combinatorics 7 Applied Mathematics and Computation 7 Journal of Graph Theory 7 Transactions of the American Mathematical Society 7 Computational Geometry 6 Combinatorica 6 Journal of Symbolic Computation 6 SIAM Journal on Discrete Mathematics 5 Journal of Statistical Planning and Inference 4 Information Processing Letters 4 Journal of Algebra 4 Journal of Pure and Applied Algebra 4 Advances in Applied Mathematics 4 Operations Research Letters 4 Journal of Mathematical Sciences (New York) 3 Journal of Mathematical Analysis and Applications 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Mathematical Programming 3 European Journal of Operational Research 3 The Australasian Journal of Combinatorics 3 Annals of Combinatorics 3 Discrete Optimization 2 Computers & Mathematics with Applications 2 Journal of the Mechanics and Physics of Solids 2 Beiträge zur Algebra und Geometrie 2 Advances in Mathematics 2 Fuzzy Sets and Systems 2 Information Sciences 2 Journal of Soviet Mathematics 2 SIAM Journal on Control and Optimization 2 Theoretical Computer Science 2 Topology and its Applications 2 Algorithmica 2 Applied Mathematics Letters 2 The Annals of Applied Probability 2 International Journal of Computer Mathematics 2 Chinese Science Bulletin 2 Finite Fields and their Applications 2 Journal of Combinatorial Designs 2 Mathematical Methods of Operations Research 2 Proceedings of the Steklov Institute of Mathematics 2 Mathematics in Computer Science 2 Ars Mathematica Contemporanea 2 Symmetry 1 Acta Informatica 1 Acta Mechanica 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Solids and Structures 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 The Mathematical Intelligencer 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Journal of Differential Equations 1 Journal of Mathematical Economics 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Notre Dame Journal of Formal Logic 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Mathematical Social Sciences 1 Statistics & Probability Letters 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Applicandae Mathematicae 1 International Journal of Production Research 1 Computer Aided Geometric Design 1 Social Choice and Welfare 1 Order 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Information and Computation 1 Mathematical and Computer Modelling 1 Annals of Operations Research 1 Random Structures & Algorithms 1 International Journal of Computational Geometry & Applications 1 Journal of Global Optimization 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 Communications in Statistics. Simulation and Computation 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Computational Statistics and Data Analysis 1 SIAM Journal on Optimization ...and 18 more Serials
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#### Cited in 42 Fields

 338 Combinatorics (05-XX) 56 Convex and discrete geometry (52-XX) 47 Operations research, mathematical programming (90-XX) 34 Biology and other natural sciences (92-XX) 31 Computer science (68-XX) 19 Group theory and generalizations (20-XX) 18 Geometry (51-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 11 Manifolds and cell complexes (57-XX) 10 Commutative algebra (13-XX) 10 Algebraic geometry (14-XX) 9 Mathematical logic and foundations (03-XX) 9 Statistics (62-XX) 9 Mechanics of particles and systems (70-XX) 8 Probability theory and stochastic processes (60-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Numerical analysis (65-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Algebraic topology (55-XX) 4 Mechanics of deformable solids (74-XX) 3 Number theory (11-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)