# zbMATH — the first resource for mathematics

## Gross, Jonathan L.

Compute Distance To:
 Author ID: gross.jonathan-l Published as: Gross, Jonathan L.; Gross, J. L.; Gross, Jonathan; Gross, J.; Groß, J. External Links: ORCID
 Documents Indexed: 93 Publications since 1967, including 7 Books 4 Contributions as Editor
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#### Co-Authors

 20 single-authored 26 Tucker, Thomas W. 19 Mansour, Toufik 12 Chen, Jian-er 9 Chen, Yichao 9 Khan, Imran F. 8 Poshni, Mehvish I. 6 Wang, David Guo-Liang 5 Yellen, Jay E. 4 Alpert, Seth R. 4 Rieper, Robert G. 2 Akleman, Ergun 2 Furst, Merrick L. 2 Rosen, Ronald H. 1 Anderson, Mark S. 1 Archdeacon, Dan Steven 1 Bachmann, Michael 1 Beineke, Lowell Wayne 1 Brainerd, Walter S. 1 George, A. C. 1 Goldberg, Charles H. 1 Grossman, Jerrold Wayne 1 Harary, Frank 1 Helfman, Jonathan I. 1 Hu, Shiyu 1 Hu, Xiaodong 1 Jackson, Brad 1 Janke, Wolfhard 1 Kanchi, Saroja P. 1 Klein, E. Ward 1 Kotrbčík, Michal 1 Lomonaco, Samuel J. jun. 1 Michaels, John G. 1 Parsons, Torrence D. 1 Pisanski, Tomaž 1 Robbins, David P. 1 Robitzsch, Alexander 1 Rosen, Kenneth H. 1 Shier, Douglas R. 1 Statman, Richard 1 Sun, Timothy 1 Wilson, Robin James 1 Zhang, Ping
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#### Serials

 9 Discrete Mathematics 8 Journal of Combinatorial Theory. Series B 8 Journal of Graph Theory 8 Ars Mathematica Contemporanea 5 European Journal of Combinatorics 4 Discrete Mathematics and its Applications 3 Transactions of the American Mathematical Society 2 American Mathematical Monthly 2 Journal of Mathematical Analysis and Applications 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 The Australasian Journal of Combinatorics 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Ars Combinatoria 1 Colloquium Mathematicum 1 Journal of the Association for Computing Machinery 1 Mathematica Slovaca 1 Mathematical Systems Theory 1 Pacific Journal of Mathematics 1 Graphs and Combinatorics 1 Discrete & Computational Geometry 1 Aequationes Mathematicae 1 The New York Journal of Mathematics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of Applied Statistics 1 Bulletin of the American Mathematical Society 1 Encyclopedia of Mathematics and Its Applications 1 Journal of Combinatorics 1 Electronic Journal of Graph Theory and Applications 1 Textbooks in Mathematics 1 CRC Press Series on Discrete Mathematics and its Applications
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#### Fields

 82 Combinatorics (05-XX) 15 Manifolds and cell complexes (57-XX) 9 Computer science (68-XX) 4 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

78 Publications have been cited 1,382 times in 895 Documents Cited by Year
Topological graph theory. Zbl 0621.05013
Gross, Jonathan L.; Tucker, Thomas W.
1987
Generating all graph coverings by permutation voltage assignments. Zbl 0375.55001
Gross, Jonathan L.; Tucker, Thomas W.
1977
Topological graph theory. Reprint of the 1987 orig. Zbl 0991.05001
Gross, Jonathan L.; Tucker, Thomas W.
2001
Handbook of graph theory. Zbl 1036.05001
2004
Handbook of discrete and combinatorial mathematics. Zbl 1044.00002
2000
Genus distributions for bouquets of circles. Zbl 0688.05038
Gross, Jonathan L.; Robbins, David P.; Tucker, Thomas W.
1989
Voltage graphs. Zbl 0286.05106
Gross, Jonathan L.
1974
Graph theory and its applications. 2nd ed. Zbl 1082.05001
Gross, Jonathan; Yellen, Jay
2006
Hierarchy for imbedding-distribution invariants of a graph. Zbl 0643.05026
Gross, Jonathan L.; Furst, Merrick L.
1987
Graph theory and its applications. Zbl 0920.05001
Gross, Jonathan; Yellen, Jay
1999
Genus distributions for two classes of graphs. Zbl 0669.05028
Furst, Merrick L.; Gross, Jonathan L.; Statman, Richard
1989
The topological theory of current graphs. Zbl 0298.05106
Gross, Jonathan L.; Alpert, Seth R.
1974
Handbook of graph theory. 2nd ed. Zbl 1278.05001
2014
Quotients of complete graphs: revisiting the Heawood map-coloring problem. Zbl 0306.55001
Gross, Jonathan L.; Tucker, Thomas W.
1974
Overlap matrices and total imbedding distributions. Zbl 0798.05017
Chen, Jianer; Gross, Jonathan L.; Rieper, Robert G.
1994
Every connected regular graph of even degree is a Schreier coset graph. Zbl 0369.05042
Gross, Jonathan L.
1977
A tight lower bound on the maximum genus of a simplicial graph. Zbl 0858.05041
Chen, Jianer; Kanchi, Saroja P.; Gross, Jonathan L.
1996
Branched coverings of graph imbeddings. Zbl 0281.05101
Gross, Jonathan L.; Alpert, Seth R.
1973
Log-concavity of combinations of sequences and applications to genus distributions. Zbl 1314.05012
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2015
Maximum genus and connectivity. Zbl 0843.05019
Chen, Jianer; Archdeacon, Dan; Gross, Jonathan L.
1996
Kuratowski-type theorems for average genus. Zbl 0776.05037
Chen, Jianer; Gross, Jonathan L.
1993
Genus distribution of graph amalgamations: pasting at root-vertices. Zbl 1240.05059
Gross, Jonathan L.; Khan, Imran F.; Poshni, Mehvish I.
2010
Limit points for average genus. I: 3-connected and 2-connected simplicial graphs. Zbl 0709.05017
Chen, Jianer; Gross, Jonathan L.
1992
Genus distributions of graphs under edge-amalgamations. Zbl 1221.05095
Poshni, Mehvish I.; Khan, Imran F.; Gross, Jonathan L.
2010
On the average genus of a graph. Zbl 0777.05051
Gross, Jonathan L.; Klein, E. Ward; Rieper, Robert G.
1993
Components of branched coverings of current graphs. Zbl 0298.05107
Alpert, Seth R.; Gross, Jonathan L.
1976
Limit points for average genus. II: 2-connected non-simplicial graphs. Zbl 0776.05036
Chen, Jianer; Gross, Jonathan L.
1992
Genus distribution of graph amalgamations: self-pasting at root-vertices. Zbl 1228.05128
Gross, Jonathan L.
2011
Genus distributions of 4-regular outerplanar graphs. Zbl 1230.05113
Poshni, Mehvish I.; Khan, Imran F.; Gross, Jonathan L.
2011
Genus distribution of graph amalgamations: pasting when one root has arbitrary degree. Zbl 1213.05054
Khan, Imran F.; Poshni, Mehvish I.; Gross, Jonathan L.
2010
Genus distribution of graphs under surgery: adding edges and splitting vertices. Zbl 1198.05029
Gross, Jonathan L.
2010
Embeddings of graphs of fixed treewidth and bounded degree. Zbl 1306.05162
Gross, Jonathan L.
2014
Lower bounds for the average genus. Zbl 0819.05022
Chen, Jianer; Gross, Jonathan L.; Rieper, Robert G.
1995
Combinatorial methods with computer applications. Zbl 1168.05001
Gross, Jonathan L.
2008
Enumeration of digraph embeddings. Zbl 1284.05136
Chen, Yichao; Gross, Jonathan L.; Hu, Xiaodong
2014
Log-concavity of genus distributions of ring-like families of graphs. Zbl 1300.05079
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2014
Embeddings of cubic Halin graphs: genus distributions. Zbl 1301.05085
Gross, Jonathan L.
2013
Genus distributions of graphs under self-edge-amalgamations. Zbl 1242.05075
Poshni, Mehvish I.; Khan, Imran F.; Gross, Jonathan L.
2012
Genus distributions of star-ladders. Zbl 1251.05108
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik
2012
A linear time planarity algorithm for 2-complexes. Zbl 0413.68071
Gross, Jonathan L.; Rosen, Ronald H.
1979
A unique decomposition theorem for 3-manifolds with connected boundary. Zbl 0183.52004
Gross, J. L.
1969
Iterated claws have real-rooted genus polynomials. Zbl 1347.05043
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2016
Total embedding distributions of circular ladders. Zbl 1272.05122
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik
2013
A determination of the toroidal K-metacyclic groups. Zbl 0441.05029
Gross, Jonathan L.; Lomonaco jun., Samuel J.
1980
Calculating genus polynomials via string operations and matrices. Zbl 1411.05066
Gross, Jonathan L.; Khan, Imran F.; Mansour, Toufik; Tucker, Thomas W.
2018
Partial duality for ribbon graphs. I: distributions. Zbl 1437.05060
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2020
The decomposition of 3-manifolds with several boundary components. Zbl 0194.55901
Gross, Jonathan L.
1970
Topics in topological graph theory. With the collaboration of Jonathan L. Gross and Thomas W. Tucker. Zbl 1170.05003
2009
Local extrema in genus-stratified graphs. Zbl 0729.05013
Gross, Jonathan L.; Rieper, Robert G.
1991
An Euler-genus approach to the calculation of the crosscap-number polynomial. Zbl 1393.05159
Chen, Yichao; Gross, Jonathan L.
2018
On the genus distributions of wheels and of related graphs. Zbl 1380.05004
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik
2018
Genus distribution of $$P_3 \mathop\square P_n$$. Zbl 1248.05047
Khan, Imran F.; Poshni, Mehvish I.; Gross, Jonathan L.
2012
Genus polynomials and crosscap-number polynomials for ring-like graphs. Zbl 1411.05124
Chen, Yichao; Gross, Jonathan L.
2019
Graph imbedding problems. Zbl 0337.05108
Alpert, Seth R.; Gross, Jonathan L.
1975
A combinatorial characterization of planar 2-complexes. Zbl 0401.57006
Gross, Jonathan L.; Rosen, Ronald H.
1981
An infinite family of octahedral crossing numbers. Zbl 0406.05029
Gross, Jonathan L.
1978
Wrapped coverings and their realizations. Zbl 0516.05024
Gross, J. L.; Jackson, B.; Parsons, T. D.; Pisanski, T.
1982
Root geometry of polynomial sequences. I: Type $$(0, 1)$$. Zbl 1321.05009
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2016
Extended graph rotation systems as a model for cyclic weaving on orientable surfaces. Zbl 1316.05031
Akleman, Ergun; Chen, Jianer; Gross, Jonathan L.
2015
Genus distributions for iterated claws. Zbl 1300.05078
Gross, Jonathan L.; Khan, Imran F.; Poshni, Mehvish I.
2014
Some problems in topological graph theory. Zbl 0443.05036
Gross, Jonathan L.; Harary, Frank
1980
Recurrences for the genus polynomials of linear sequences of graphs. Zbl 07289658
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2020
Genus polynomials of ladder-like sequences of graphs. Zbl 1453.05052
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2020
The genus of nearly complete graphs-case 6. Zbl 0341.05105
Gross, Jonathan L.
1975
No lower limit points for average genus. Zbl 0844.05039
Chen, Jianer; Gross, Jonathan L.
1995
An infinite class of irreducible homology 3-spheres. Zbl 0194.55803
Gross, Jonathan L.
1970
Combinatorial conjectures that imply local log-concavity of graph genus polynomials. Zbl 1327.05079
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2016
Log-concavity of genus distributions for circular ladders. Zbl 1328.05053
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik
2015
A celtic framework for knots and links. Zbl 1250.57008
Gross, Jonathan L.; Tucker, Thomas W.
2011
A third definition of local compactness. Zbl 0156.43405
Gross, J. L.
1967
Fast computations in voltage graph theory. Zbl 0486.05027
Gross, Jonathan L.; Tucker, Thomas W.
1979
Genus distributions of cubic series-parallel graphs. Zbl 1301.05233
Gross, Jonathan L.; Kotrbčík, Michal; Sun, Timothy
2014
Genus distributions of iterated 3-wheels and 3-prisms. Zbl 1309.05152
Poshni, Mehvish I.; Khan, Imran F.; Gross, Jonathan L.
2014
Valence-partitioned genus polynomials and their application to generalized dipoles. Zbl 1375.05138
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2017
Root geometry of polynomial sequences. II: Type $$(1,0)$$. Zbl 1344.05014
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2016
Stratified graphs for imbedding systems. Zbl 0876.05028
Gross, Jonathan L.; Tucker, Thomas W.
1995
Partial duality for ribbon graphs. II: Partial-twuality polynomials and monodromy computations. Zbl 1466.05050
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2021
Log-concavity of the genus polynomials of Ringel ladders. Zbl 1467.05014
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2015
Partial duality for ribbon graphs. II: Partial-twuality polynomials and monodromy computations. Zbl 1466.05050
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2021
Partial duality for ribbon graphs. I: distributions. Zbl 1437.05060
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2020
Recurrences for the genus polynomials of linear sequences of graphs. Zbl 07289658
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2020
Genus polynomials of ladder-like sequences of graphs. Zbl 1453.05052
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2020
Genus polynomials and crosscap-number polynomials for ring-like graphs. Zbl 1411.05124
Chen, Yichao; Gross, Jonathan L.
2019
Calculating genus polynomials via string operations and matrices. Zbl 1411.05066
Gross, Jonathan L.; Khan, Imran F.; Mansour, Toufik; Tucker, Thomas W.
2018
An Euler-genus approach to the calculation of the crosscap-number polynomial. Zbl 1393.05159
Chen, Yichao; Gross, Jonathan L.
2018
On the genus distributions of wheels and of related graphs. Zbl 1380.05004
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik
2018
Valence-partitioned genus polynomials and their application to generalized dipoles. Zbl 1375.05138
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2017
Iterated claws have real-rooted genus polynomials. Zbl 1347.05043
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2016
Root geometry of polynomial sequences. I: Type $$(0, 1)$$. Zbl 1321.05009
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2016
Combinatorial conjectures that imply local log-concavity of graph genus polynomials. Zbl 1327.05079
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2016
Root geometry of polynomial sequences. II: Type $$(1,0)$$. Zbl 1344.05014
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2016
Log-concavity of combinations of sequences and applications to genus distributions. Zbl 1314.05012
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2015
Extended graph rotation systems as a model for cyclic weaving on orientable surfaces. Zbl 1316.05031
Akleman, Ergun; Chen, Jianer; Gross, Jonathan L.
2015
Log-concavity of genus distributions for circular ladders. Zbl 1328.05053
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik
2015
Log-concavity of the genus polynomials of Ringel ladders. Zbl 1467.05014
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L.
2015
Handbook of graph theory. 2nd ed. Zbl 1278.05001
2014
Embeddings of graphs of fixed treewidth and bounded degree. Zbl 1306.05162
Gross, Jonathan L.
2014
Enumeration of digraph embeddings. Zbl 1284.05136
Chen, Yichao; Gross, Jonathan L.; Hu, Xiaodong
2014
Log-concavity of genus distributions of ring-like families of graphs. Zbl 1300.05079
Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.
2014
Genus distributions for iterated claws. Zbl 1300.05078
Gross, Jonathan L.; Khan, Imran F.; Poshni, Mehvish I.
2014
Genus distributions of cubic series-parallel graphs. Zbl 1301.05233
Gross, Jonathan L.; Kotrbčík, Michal; Sun, Timothy
2014
Genus distributions of iterated 3-wheels and 3-prisms. Zbl 1309.05152
Poshni, Mehvish I.; Khan, Imran F.; Gross, Jonathan L.
2014
Embeddings of cubic Halin graphs: genus distributions. Zbl 1301.05085
Gross, Jonathan L.
2013
Total embedding distributions of circular ladders. Zbl 1272.05122
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik
2013
Genus distributions of graphs under self-edge-amalgamations. Zbl 1242.05075
Poshni, Mehvish I.; Khan, Imran F.; Gross, Jonathan L.
2012
Genus distributions of star-ladders. Zbl 1251.05108
Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik
2012
Genus distribution of $$P_3 \mathop\square P_n$$. Zbl 1248.05047
Khan, Imran F.; Poshni, Mehvish I.; Gross, Jonathan L.
2012
Genus distribution of graph amalgamations: self-pasting at root-vertices. Zbl 1228.05128
Gross, Jonathan L.
2011
Genus distributions of 4-regular outerplanar graphs. Zbl 1230.05113
Poshni, Mehvish I.; Khan, Imran F.; Gross, Jonathan L.
2011
A celtic framework for knots and links. Zbl 1250.57008
Gross, Jonathan L.; Tucker, Thomas W.
2011
Genus distribution of graph amalgamations: pasting at root-vertices. Zbl 1240.05059
Gross, Jonathan L.; Khan, Imran F.; Poshni, Mehvish I.
2010
Genus distributions of graphs under edge-amalgamations. Zbl 1221.05095
Poshni, Mehvish I.; Khan, Imran F.; Gross, Jonathan L.
2010
Genus distribution of graph amalgamations: pasting when one root has arbitrary degree. Zbl 1213.05054
Khan, Imran F.; Poshni, Mehvish I.; Gross, Jonathan L.
2010
Genus distribution of graphs under surgery: adding edges and splitting vertices. Zbl 1198.05029
Gross, Jonathan L.
2010
Topics in topological graph theory. With the collaboration of Jonathan L. Gross and Thomas W. Tucker. Zbl 1170.05003
2009
Combinatorial methods with computer applications. Zbl 1168.05001
Gross, Jonathan L.
2008
Graph theory and its applications. 2nd ed. Zbl 1082.05001
Gross, Jonathan; Yellen, Jay
2006
Handbook of graph theory. Zbl 1036.05001
2004
Topological graph theory. Reprint of the 1987 orig. Zbl 0991.05001
Gross, Jonathan L.; Tucker, Thomas W.
2001
Handbook of discrete and combinatorial mathematics. Zbl 1044.00002
2000
Graph theory and its applications. Zbl 0920.05001
Gross, Jonathan; Yellen, Jay
1999
A tight lower bound on the maximum genus of a simplicial graph. Zbl 0858.05041
Chen, Jianer; Kanchi, Saroja P.; Gross, Jonathan L.
1996
Maximum genus and connectivity. Zbl 0843.05019
Chen, Jianer; Archdeacon, Dan; Gross, Jonathan L.
1996
Lower bounds for the average genus. Zbl 0819.05022
Chen, Jianer; Gross, Jonathan L.; Rieper, Robert G.
1995
No lower limit points for average genus. Zbl 0844.05039
Chen, Jianer; Gross, Jonathan L.
1995
Stratified graphs for imbedding systems. Zbl 0876.05028
Gross, Jonathan L.; Tucker, Thomas W.
1995
Overlap matrices and total imbedding distributions. Zbl 0798.05017
Chen, Jianer; Gross, Jonathan L.; Rieper, Robert G.
1994
Kuratowski-type theorems for average genus. Zbl 0776.05037
Chen, Jianer; Gross, Jonathan L.
1993
On the average genus of a graph. Zbl 0777.05051
Gross, Jonathan L.; Klein, E. Ward; Rieper, Robert G.
1993
Limit points for average genus. I: 3-connected and 2-connected simplicial graphs. Zbl 0709.05017
Chen, Jianer; Gross, Jonathan L.
1992
Limit points for average genus. II: 2-connected non-simplicial graphs. Zbl 0776.05036
Chen, Jianer; Gross, Jonathan L.
1992
Local extrema in genus-stratified graphs. Zbl 0729.05013
Gross, Jonathan L.; Rieper, Robert G.
1991
Genus distributions for bouquets of circles. Zbl 0688.05038
Gross, Jonathan L.; Robbins, David P.; Tucker, Thomas W.
1989
Genus distributions for two classes of graphs. Zbl 0669.05028
Furst, Merrick L.; Gross, Jonathan L.; Statman, Richard
1989
Topological graph theory. Zbl 0621.05013
Gross, Jonathan L.; Tucker, Thomas W.
1987
Hierarchy for imbedding-distribution invariants of a graph. Zbl 0643.05026
Gross, Jonathan L.; Furst, Merrick L.
1987
Wrapped coverings and their realizations. Zbl 0516.05024
Gross, J. L.; Jackson, B.; Parsons, T. D.; Pisanski, T.
1982
A combinatorial characterization of planar 2-complexes. Zbl 0401.57006
Gross, Jonathan L.; Rosen, Ronald H.
1981
A determination of the toroidal K-metacyclic groups. Zbl 0441.05029
Gross, Jonathan L.; Lomonaco jun., Samuel J.
1980
Some problems in topological graph theory. Zbl 0443.05036
Gross, Jonathan L.; Harary, Frank
1980
A linear time planarity algorithm for 2-complexes. Zbl 0413.68071
Gross, Jonathan L.; Rosen, Ronald H.
1979
Fast computations in voltage graph theory. Zbl 0486.05027
Gross, Jonathan L.; Tucker, Thomas W.
1979
An infinite family of octahedral crossing numbers. Zbl 0406.05029
Gross, Jonathan L.
1978
Generating all graph coverings by permutation voltage assignments. Zbl 0375.55001
Gross, Jonathan L.; Tucker, Thomas W.
1977
Every connected regular graph of even degree is a Schreier coset graph. Zbl 0369.05042
Gross, Jonathan L.
1977
Components of branched coverings of current graphs. Zbl 0298.05107
Alpert, Seth R.; Gross, Jonathan L.
1976
Graph imbedding problems. Zbl 0337.05108
Alpert, Seth R.; Gross, Jonathan L.
1975
The genus of nearly complete graphs-case 6. Zbl 0341.05105
Gross, Jonathan L.
1975
Voltage graphs. Zbl 0286.05106
Gross, Jonathan L.
1974
The topological theory of current graphs. Zbl 0298.05106
Gross, Jonathan L.; Alpert, Seth R.
1974
Quotients of complete graphs: revisiting the Heawood map-coloring problem. Zbl 0306.55001
Gross, Jonathan L.; Tucker, Thomas W.
1974
Branched coverings of graph imbeddings. Zbl 0281.05101
Gross, Jonathan L.; Alpert, Seth R.
1973
The decomposition of 3-manifolds with several boundary components. Zbl 0194.55901
Gross, Jonathan L.
1970
An infinite class of irreducible homology 3-spheres. Zbl 0194.55803
Gross, Jonathan L.
1970
A unique decomposition theorem for 3-manifolds with connected boundary. Zbl 0183.52004
Gross, J. L.
1969
A third definition of local compactness. Zbl 0156.43405
Gross, J. L.
1967
all top 5

#### Cited by 1,103 Authors

 45 Kwak, Jin Ho 40 Gross, Jonathan L. 31 Sato, Iwao 27 Tucker, Thomas W. 23 Lee, Jaeun 23 Liu, Yanpei 21 Nedela, Roman 20 Pisanski, Tomaž 18 Korzhik, Vladimir P. 17 Mohar, Bojan 16 Feng, Yanquan 16 Mansour, Toufik 15 Chen, Yichao 15 Du, Shaofei 15 Marušič, Dragan 14 Širáň, Jozef 13 Jendrol’, Stanislav 13 Malnič, Aleksander 13 May, Coy L. 13 Škoviera, Martin 12 Mizuno, Hirobumi 10 Chen, Jian-er 10 Grannell, Michael John 9 Archdeacon, Dan Steven 9 Jajcay, Robert 9 Kutnar, Klavdija 9 Stahl, Saul 8 Conder, Marston D. E. 8 Feng, Rongquan 8 Griggs, Terry S. 8 Hao, Rongxia 8 Wang, David Guo-Liang 8 White, Arthur T. 8 Zha, Xiaoya 8 Zimmerman, Jay J. 7 Ellingham, Mark Norman 7 Moffatt, Iain 7 Mohanta, Sushanta Kumar 7 Zemmari, Akka 6 Akgunes, Nihat 6 Czap, Július 6 Huang, Yuanqiu 6 Kwon, Young Soo 6 Li, Deming 6 Mednykh, Aleksandr Dmitrievich 6 Métivier, Yves 6 Pan, Jiangmin 6 Potočnik, Primož 6 Xu, Wenqin 5 Alaeiyan, Mehdi 5 Blanchet-Sadri, Francine 5 Chmutov, Sergei V. 5 Deng, Aiping 5 Huang, Zhaohong 5 Knor, Martin 5 McCourt, Thomas A. 5 Sohn, Moo Young 4 Alpert, Seth R. 4 Chen, Haimiao 4 Daoud, Salama Nagy 4 Fabrici, Igor 4 Iványi, Antal Miklós 4 Jackson, David M. 4 Kim, Dongseok 4 Kovács, István 4 Liu, Jianbing 4 Nacaroglu, Yasar 4 Naduvath, Sudev 4 Robson, John Michael 4 Xu, Mingyao 3 Abrams, Lowell 3 Alfarisi, Ridho 3 Dafik, D. 3 Dalfó, Cristina 3 Donovan, Diane M. 3 Ehrenfeucht, Andrzej 3 Ellis-Monaghan, Joanna A. 3 Exoo, Geoffrey 3 Fiala, Jiří 3 Fiol, Miquel Angel 3 Fu, Hunglin 3 Germina, K. A. 3 Ghasemi, Mohsen 3 Gomez, Humberto 3 Harju, Tero 3 Hofmeister, Michael 3 Horňák, Mirko 3 Hosseinipoor, M. K. 3 Hou, Yaoping 3 Jin, Xian’an 3 Khan, Imran F. 3 Kim, Hyekyung 3 Konno, Norio 3 Kratochvíl, Jan 3 Li, Deqiong 3 Li, Fang 3 Liberti, Leo 3 Liu, Shiping 3 Miklavič, Štefko 3 Mitsuhashi, Hideo ...and 1,003 more Authors
all top 5

#### Cited in 231 Serials

 141 Discrete Mathematics 66 European Journal of Combinatorics 61 Journal of Combinatorial Theory. Series B 27 Discrete Applied Mathematics 27 Linear Algebra and its Applications 21 Graphs and Combinatorics 17 Journal of Algebraic Combinatorics 17 The Electronic Journal of Combinatorics 15 Theoretical Computer Science 13 Journal of Graph Theory 13 Transactions of the American Mathematical Society 12 Discrete & Computational Geometry 9 Mathematica Slovaca 9 Journal of Knot Theory and its Ramifications 9 Acta Mathematica Sinica. English Series 8 Journal of Combinatorial Theory. Series A 8 Topology and its Applications 8 Discrete Mathematics, Algorithms and Applications 7 Information Processing Letters 7 Science in China. Series A 7 Discussiones Mathematicae. Graph Theory 7 Journal of Mathematics 6 Applied Mathematics and Computation 6 Ars Mathematica Contemporanea 5 Journal of Algebra 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of High Energy Physics 5 Science China. Mathematics 4 Bulletin of the Australian Mathematical Society 4 Communications in Algebra 4 Czechoslovak Mathematical Journal 4 Advances in Applied Mathematics 4 Algorithmica 4 Computers & Operations Research 4 SIAM Journal on Discrete Mathematics 4 Annals of Operations Research 4 International Journal of Algebra and Computation 4 Applied Mathematics. Series B (English Edition) 4 Theory of Computing Systems 4 Annals of Combinatorics 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Journal of Algebra and its Applications 4 Acta Universitatis Sapientiae. Informatica 4 Symmetry 3 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Advances in Mathematics 3 Glasgow Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Combinatorica 3 Information and Computation 3 International Journal of Foundations of Computer Science 3 Numerical Algorithms 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of the Egyptian Mathematical Society 3 Journal of Mathematical Chemistry 3 Fixed Point Theory and Applications 3 Proyecciones 3 Electronic Journal of Graph Theory and Applications 3 Journal of Linear and Topological Algebra 2 International Journal of Modern Physics A 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Journal of Mathematical Biology 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annales de l’Institut Fourier 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Journal of Geometry 2 Journal of Multivariate Analysis 2 Journal of Pure and Applied Algebra 2 Mathematische Nachrichten 2 Mathematical Systems Theory 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Semigroup Forum 2 SIAM Journal on Computing 2 Journal of Symbolic Computation 2 Applied Mathematics Letters 2 Designs, Codes and Cryptography 2 Computational Statistics 2 Mathematical Programming. Series A. Series B 2 Journal of Mathematical Sciences (New York) 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Journal of Combinatorial Optimization 2 Geometry & Topology 2 Communications of the Korean Mathematical Society 2 Journal of the Australian Mathematical Society 2 Quantum Information Processing 2 Algebra and Discrete Mathematics 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Journal of Discrete Algorithms 2 International Journal of Quantum Information 2 Asian-European Journal of Mathematics 2 Advances and Applications in Discrete Mathematics 2 Acta Crystallographica. Section A 2 Arnold Mathematical Journal ...and 131 more Serials
all top 5

#### Cited in 55 Fields

 696 Combinatorics (05-XX) 105 Computer science (68-XX) 99 Manifolds and cell complexes (57-XX) 96 Group theory and generalizations (20-XX) 39 Number theory (11-XX) 35 Operations research, mathematical programming (90-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 26 Convex and discrete geometry (52-XX) 18 Numerical analysis (65-XX) 18 Quantum theory (81-XX) 17 Probability theory and stochastic processes (60-XX) 16 Functions of a complex variable (30-XX) 12 General topology (54-XX) 12 Information and communication theory, circuits (94-XX) 11 Algebraic geometry (14-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Operator theory (47-XX) 11 Geometry (51-XX) 11 Biology and other natural sciences (92-XX) 10 Functional analysis (46-XX) 9 Real functions (26-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Commutative algebra (13-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Systems theory; control (93-XX) 7 Special functions (33-XX) 7 Statistics (62-XX) 6 Algebraic topology (55-XX) 5 Associative rings and algebras (16-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Nonassociative rings and algebras (17-XX) 4 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 3 Mathematical logic and foundations (03-XX) 3 Partial differential equations (35-XX) 3 Mechanics of deformable solids (74-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)