×
Compute Distance To:
Author ID: watkins.mark-e Recent zbMATH articles by "Watkins, Mark E."
Published as: Watkins, Mark E.; Watkins, M. E.
Homepage: http://mewatkin.mysite.syr.edu/
External Links: MGP · dblp
Documents Indexed: 76 Publications since 1966, including 2 Books
1 Further Contribution
Reviewing Activity: 172 Reviews
Co-Authors: 28 Co-Authors with 43 Joint Publications
872 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 872 times in 602 Documents Cited by Year
Connectivity of transitive graphs. Zbl 0185.51702
Watkins, M. E.
107
1970
A theorem on Tait colorings with an application to the generalized Petersen graphs. Zbl 0175.50303
Watkins, M. E.
82
1969
The groups of the generalized Petersen graphs. Zbl 0221.05069
Frucht, Roberto; Graver, Jack E.; Watkins, Mark E.
76
1971
Cycles and connectivity in graphs. Zbl 0205.28501
Watkins, M. E.; Mesner, D. M.
47
1967
Cayley maps. Zbl 1079.05029
Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E.
45
2005
On the action of non-Abelian groups on graphs. Zbl 0227.05108
Watkins, Mark E.
43
1971
Graphical regular representations of non-abelian groups. I. Zbl 0249.05122
Nowitz, Lewis A.; Watkins, Mark E.
38
1972
Graphical regular representations of non-abelian groups. II. Zbl 0249.05123
Nowitz, Lewis A.; Watkins, Mark E.
33
1972
Fragments and automorphisms of infinite graphs. Zbl 0547.05040
Jung, H. A.; Watkins, M. E.
26
1984
Locally finite, planar, edge-transitive graphs. Zbl 0901.05087
Graver, Jack E.; Watkins, Mark E.
25
1997
Combinatorics with emphasis on the theory of graphs. Zbl 0367.05001
Graver, Jack E.; Watkins, Mark E.
25
1977
Graphical regular representations of alternating, symmetric and miscellaneous small groups. Zbl 0294.05114
Watkins, Mark E.
21
1974
On planar geodetic graphs. Zbl 0153.54004
Stemple, J. G.; Watkins, M. E.
21
1968
Realizing finite edge-transitive orientable maps. Zbl 0989.05027
Širáň, Jozef; Tucker, Thomas W.; Watkins, Mark E.
20
2001
On graphical representations of cyclic extensions of groups. Zbl 0298.05128
Imrich, Wilfried; Watkins, Mark E.
19
1974
A note on bounded automorphisms of infinite graphs. Zbl 0714.05029
Godsil, Chris D.; Imrich, Wilfried; Seifter, Norbert; Watkins, Mark E.; Woess, Wolfgang
17
1989
Distinguishability of locally finite trees. Zbl 1112.05026
Watkins, Mark E.; Zhou, Xiangqian
15
2007
Infinite vertex-transitive, ege-transitive non-1-transitive graphs. Zbl 0677.05042
Thomassen, Carsten; Watkins, Mark E.
14
1989
Distinguishability of infinite groups and graphs. Zbl 1243.05086
Smith, Simon M.; Tucker, Thomas W.; Watkins, Mark E.
13
2012
On the connectivities of finite and infinite graphs. Zbl 0381.05036
Jung, H. A.; Watkins, M. E.
12
1977
Infinite paths that contain only shortest paths. Zbl 0593.05045
Watkins, Mark E.
12
1986
On automorphisms of Cayley graphs. Zbl 0335.05118
Imrich, W.; Watkins, M. E.
12
1976
On the structure of infinite vertex-transitive graphs. Zbl 0357.05050
Jung, H. A.; Watkins, M. E.
12
1977
Graphical Frobenius representations. Zbl 1404.05077
Doyle, John Kevin; Tucker, Thomas W.; Watkins, Mark E.
11
2018
Graphical regular representations of free products of groups. Zbl 0319.05114
Watkins, Mark E.
10
1976
On graphical regular representations of direct products of groups. Zbl 0242.05115
Watkins, Mark E.; Nowitz, Lewis A.
10
1972
Connectivity of infinite graphs having a transitive torsion group action. Zbl 0416.05056
Babai, Laszlo; Watkins, Mark E.
9
1980
Modular forms and elliptic curves over the field of fifth roots of unity. Appendix by Mark Watkins. Zbl 1287.11073
Gunnells, Paul E.; Hajir, Farshid; Yasaki, Dan
9
2013
Infinite motion and 2-distinguishability of graphs and groups. Zbl 1307.05231
Imrich, Wilfried; Smith, Simon M.; Tucker, Thomas W.; Watkins, Mark E.
8
2015
On the existence of certain disjoint arcs in graphs. Zbl 0176.22301
Watkins, M. E.
8
1968
Some theorems about n-vertex connected graphs. Zbl 0168.21605
Mesner, D. M.; Watkins, M. E.
6
1966
A lower bound for the number of vertices of a graph. Zbl 0147.42901
Watkins, M. E.
5
1967
Separating double rays in locally finite planar graphs. Zbl 0843.05021
Bonnington, C. Paul; Imrich, Wilfried; Watkins, Mark E.
5
1995
Covalence sequences of planar vertex-homogeneous maps. Zbl 1110.05025
Šiagiová, Jana; Watkins, Mark E.
4
2007
Edge-transitive strips. Zbl 0756.05093
Watkins, Mark E.
4
1991
A special crossing number for bipartite graphs: A research problem. Zbl 0226.05107
Watkins, Mark E.
4
1970
On translations of double rays in graphs. Zbl 0855.05075
Polat, Norbert; Watkins, Mark E.
3
1995
Geodetic rays and fibers in one-ended planar graphs. Zbl 0873.05039
Niemeyer, Peter; Watkins, Mark E.
3
1997
Finite separating sets in locally finite graphs. Zbl 0793.05126
Jung, H. A.; Watkins, Mark E.
3
1993
Planar embeddings with infinite faces. Zbl 1023.05036
Bonnington, C. Paul; Watkins, Mark E.
3
2003
Infinite graphical Frobenius representations. Zbl 1398.05147
Watkins, Mark E.
3
2018
The connectivities of locally finite primitive graphs. Zbl 0747.05043
Jung, H. A.; Watkins, M. E.
3
1989
Bounding the distinguishing number of infinite graphs and permutation groups. Zbl 1301.05138
Smith, Simon M.; Watkins, Mark E.
3
2014
Vertex-transitive graphs that are not Cayley graphs. Zbl 0705.05039
Watkins, Mark E.
3
1990
Concentric Bilinski diagrams. Zbl 1053.05108
Bruce, Jennifer A.; Watkins, Mark E.
2
2004
The state of the GRR problem. Zbl 0333.05109
Watkins, Mark E.
2
1975
A characterization of planar geodetic graphs. Zbl 0148.17801
Watkins, Mark E.
2
1967
A characterization of finite planar primitive graphs. Zbl 0691.05014
Graver, Jack E.; Watkins, Mark E.
2
1988
A theorem on Tait colorings with an application to the generalized Petersen graphs. Zbl 0192.60602
Watkins, Mark E.
2
1969
On graphical regular representations of C\(_n \times\) Q. Zbl 0249.05124
Watkins, Mark E.
2
1972
Class number one from analytic rank two. Zbl 1431.11124
Watkins, Mark
1
2019
Ends and automorphisms of infinite graphs. Notes by Sanghamitra Chakrabarty. Zbl 0883.05066
Watkins, Mark E.
1
1997
Growth of edge-homogeneous tessellations. Zbl 1205.05044
Graves, Stephen; Pisanski, Tomaž; Watkins, Mark E.
1
2008
Lobe, edge, and arc transitivity of graphs of connectivity 1. Zbl 1464.05179
Graver, Jack E.; Watkins, Mark E.
1
2019
Growth of face-homogeneous tessellations. Zbl 1393.05075
Graves, Stephen J.; Watkins, Mark E.
1
2018
On graphical representations of cyclic extensions of groups. Zbl 0279.05114
Imrich, Wilfried; Watkins, Mark E.
1
1974
Imprimitivity of locally finite, 1-ended, planar graphs. Zbl 1258.05051
Watkins, Mark E.; Širáň, Jozef
1
2012
Some classes of hypoconnected vertex-transitive e graphs. Zbl 0195.25803
Watkins, Mark E.
1
1969
Class number one from analytic rank two. Zbl 1431.11124
Watkins, Mark
1
2019
Lobe, edge, and arc transitivity of graphs of connectivity 1. Zbl 1464.05179
Graver, Jack E.; Watkins, Mark E.
1
2019
Graphical Frobenius representations. Zbl 1404.05077
Doyle, John Kevin; Tucker, Thomas W.; Watkins, Mark E.
11
2018
Infinite graphical Frobenius representations. Zbl 1398.05147
Watkins, Mark E.
3
2018
Growth of face-homogeneous tessellations. Zbl 1393.05075
Graves, Stephen J.; Watkins, Mark E.
1
2018
Infinite motion and 2-distinguishability of graphs and groups. Zbl 1307.05231
Imrich, Wilfried; Smith, Simon M.; Tucker, Thomas W.; Watkins, Mark E.
8
2015
Bounding the distinguishing number of infinite graphs and permutation groups. Zbl 1301.05138
Smith, Simon M.; Watkins, Mark E.
3
2014
Modular forms and elliptic curves over the field of fifth roots of unity. Appendix by Mark Watkins. Zbl 1287.11073
Gunnells, Paul E.; Hajir, Farshid; Yasaki, Dan
9
2013
Distinguishability of infinite groups and graphs. Zbl 1243.05086
Smith, Simon M.; Tucker, Thomas W.; Watkins, Mark E.
13
2012
Imprimitivity of locally finite, 1-ended, planar graphs. Zbl 1258.05051
Watkins, Mark E.; Širáň, Jozef
1
2012
Growth of edge-homogeneous tessellations. Zbl 1205.05044
Graves, Stephen; Pisanski, Tomaž; Watkins, Mark E.
1
2008
Distinguishability of locally finite trees. Zbl 1112.05026
Watkins, Mark E.; Zhou, Xiangqian
15
2007
Covalence sequences of planar vertex-homogeneous maps. Zbl 1110.05025
Šiagiová, Jana; Watkins, Mark E.
4
2007
Cayley maps. Zbl 1079.05029
Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E.
45
2005
Concentric Bilinski diagrams. Zbl 1053.05108
Bruce, Jennifer A.; Watkins, Mark E.
2
2004
Planar embeddings with infinite faces. Zbl 1023.05036
Bonnington, C. Paul; Watkins, Mark E.
3
2003
Realizing finite edge-transitive orientable maps. Zbl 0989.05027
Širáň, Jozef; Tucker, Thomas W.; Watkins, Mark E.
20
2001
Locally finite, planar, edge-transitive graphs. Zbl 0901.05087
Graver, Jack E.; Watkins, Mark E.
25
1997
Geodetic rays and fibers in one-ended planar graphs. Zbl 0873.05039
Niemeyer, Peter; Watkins, Mark E.
3
1997
Ends and automorphisms of infinite graphs. Notes by Sanghamitra Chakrabarty. Zbl 0883.05066
Watkins, Mark E.
1
1997
Separating double rays in locally finite planar graphs. Zbl 0843.05021
Bonnington, C. Paul; Imrich, Wilfried; Watkins, Mark E.
5
1995
On translations of double rays in graphs. Zbl 0855.05075
Polat, Norbert; Watkins, Mark E.
3
1995
Finite separating sets in locally finite graphs. Zbl 0793.05126
Jung, H. A.; Watkins, Mark E.
3
1993
Edge-transitive strips. Zbl 0756.05093
Watkins, Mark E.
4
1991
Vertex-transitive graphs that are not Cayley graphs. Zbl 0705.05039
Watkins, Mark E.
3
1990
A note on bounded automorphisms of infinite graphs. Zbl 0714.05029
Godsil, Chris D.; Imrich, Wilfried; Seifter, Norbert; Watkins, Mark E.; Woess, Wolfgang
17
1989
Infinite vertex-transitive, ege-transitive non-1-transitive graphs. Zbl 0677.05042
Thomassen, Carsten; Watkins, Mark E.
14
1989
The connectivities of locally finite primitive graphs. Zbl 0747.05043
Jung, H. A.; Watkins, M. E.
3
1989
A characterization of finite planar primitive graphs. Zbl 0691.05014
Graver, Jack E.; Watkins, Mark E.
2
1988
Infinite paths that contain only shortest paths. Zbl 0593.05045
Watkins, Mark E.
12
1986
Fragments and automorphisms of infinite graphs. Zbl 0547.05040
Jung, H. A.; Watkins, M. E.
26
1984
Connectivity of infinite graphs having a transitive torsion group action. Zbl 0416.05056
Babai, Laszlo; Watkins, Mark E.
9
1980
Combinatorics with emphasis on the theory of graphs. Zbl 0367.05001
Graver, Jack E.; Watkins, Mark E.
25
1977
On the connectivities of finite and infinite graphs. Zbl 0381.05036
Jung, H. A.; Watkins, M. E.
12
1977
On the structure of infinite vertex-transitive graphs. Zbl 0357.05050
Jung, H. A.; Watkins, M. E.
12
1977
On automorphisms of Cayley graphs. Zbl 0335.05118
Imrich, W.; Watkins, M. E.
12
1976
Graphical regular representations of free products of groups. Zbl 0319.05114
Watkins, Mark E.
10
1976
The state of the GRR problem. Zbl 0333.05109
Watkins, Mark E.
2
1975
Graphical regular representations of alternating, symmetric and miscellaneous small groups. Zbl 0294.05114
Watkins, Mark E.
21
1974
On graphical representations of cyclic extensions of groups. Zbl 0298.05128
Imrich, Wilfried; Watkins, Mark E.
19
1974
On graphical representations of cyclic extensions of groups. Zbl 0279.05114
Imrich, Wilfried; Watkins, Mark E.
1
1974
Graphical regular representations of non-abelian groups. I. Zbl 0249.05122
Nowitz, Lewis A.; Watkins, Mark E.
38
1972
Graphical regular representations of non-abelian groups. II. Zbl 0249.05123
Nowitz, Lewis A.; Watkins, Mark E.
33
1972
On graphical regular representations of direct products of groups. Zbl 0242.05115
Watkins, Mark E.; Nowitz, Lewis A.
10
1972
On graphical regular representations of C\(_n \times\) Q. Zbl 0249.05124
Watkins, Mark E.
2
1972
The groups of the generalized Petersen graphs. Zbl 0221.05069
Frucht, Roberto; Graver, Jack E.; Watkins, Mark E.
76
1971
On the action of non-Abelian groups on graphs. Zbl 0227.05108
Watkins, Mark E.
43
1971
Connectivity of transitive graphs. Zbl 0185.51702
Watkins, M. E.
107
1970
A special crossing number for bipartite graphs: A research problem. Zbl 0226.05107
Watkins, Mark E.
4
1970
A theorem on Tait colorings with an application to the generalized Petersen graphs. Zbl 0175.50303
Watkins, M. E.
82
1969
A theorem on Tait colorings with an application to the generalized Petersen graphs. Zbl 0192.60602
Watkins, Mark E.
2
1969
Some classes of hypoconnected vertex-transitive e graphs. Zbl 0195.25803
Watkins, Mark E.
1
1969
On planar geodetic graphs. Zbl 0153.54004
Stemple, J. G.; Watkins, M. E.
21
1968
On the existence of certain disjoint arcs in graphs. Zbl 0176.22301
Watkins, M. E.
8
1968
Cycles and connectivity in graphs. Zbl 0205.28501
Watkins, M. E.; Mesner, D. M.
47
1967
A lower bound for the number of vertices of a graph. Zbl 0147.42901
Watkins, M. E.
5
1967
A characterization of planar geodetic graphs. Zbl 0148.17801
Watkins, Mark E.
2
1967
Some theorems about n-vertex connected graphs. Zbl 0168.21605
Mesner, D. M.; Watkins, M. E.
6
1966
all top 5

Cited by 689 Authors

29 Marušič, Dragan
29 Watkins, Mark E.
18 Imrich, Wilfried
17 Kutnar, Klavdija
15 Seifter, Norbert
14 Jajcay, Robert
13 Feng, Yanquan
13 Meng, Jixiang
13 Spiga, Pablo
13 Zhou, Jinxin
12 Jung, Heinz Adolf
10 Babai, László
10 Grech, Mariusz
10 Kovács, István
10 Malnič, Aleksander
10 Möller, Rögnvaldur G.
10 Šparl, Primož
9 Godsil, Christopher David
9 Hamidoune, Yahya Ould
9 Pisanski, Tomaž
9 Širáň, Jozef
9 Tucker, Thomas W.
9 Wang, Yan
8 Conder, Marston D. E.
8 Yu, Xingxing
8 Zhang, Zhao
7 Kwon, Young Soo
7 Li, Caiheng
7 Miklavič, Štefko
6 Cheng, Eddie
6 Hujdurović, Ademir
6 Klavžar, Sandi
6 Lehner, Florian
6 Mader, Wolfgang
6 Shao, Zehui
6 Yang, Weihua
5 Georgakopoulos, Agelos
5 Hubard, Isabel
5 Kwak, Jin Ho
5 Nedela, Roman
5 Potočnik, Primož
5 Smith, Simon M.
5 Thomassen, Carsten
5 Woess, Wolfgang
4 Fan, Wenwen
4 Gauci, John Baptist
4 He, Dawei
4 Kisielewicz, Andrzej Piotr
4 Krön, Bernhard
4 Lauderdale, Lindsey-Kay
4 Morris, Joy
4 Orbanić, Alen
4 Pilśniak, Monika
4 Solé, Patrick
3 Alspach, Brian R.
3 Boruzanlı Ekinci, Gülnaz
3 DeVos, Matthew
3 Diestel, Reinhard
3 Du, Jiali
3 Feng, Rongquan
3 Ghafoor, Arif
3 Graves, Stephen J.
3 Grimmett, Geoffrey R.
3 Haythorpe, Michael
3 Híc, Pavol
3 Holton, Derek Allan
3 Hsu, Lihhsing
3 Huang, Qiongxiang
3 Jones, Gareth A.
3 Kalinowski, Rafał
3 Li, Hao
3 Li, Zepeng
3 Lipman, Marc J.
3 Lipták, László
3 Lovrečič Saražin, Marko
3 Mohar, Bojan
3 Niemeyer, Peter
3 Pellicer, Daniel
3 Plummer, Michael D.
3 Praeger, Cheryl Elisabeth
3 Škoviera, Martin
3 Sun, Wuyang
3 Tian, Yingzhi
3 Trofimov, Vladimir Ivanovich
3 Verret, Gabriel
3 Voblyi, Vitaliy A.
3 Wilson, Stephen E.
3 Žerovnik, Janez
3 Zhang, Heping
3 Zhang, Junyang
3 Zhang, Mimi
3 Zhou, Sanming
3 Zhu, Enqiang
2 Alikhani, Saeid
2 Arredondo, John Alexander
2 Asmiati
2 Bača, Martin
2 Bauer, Douglas
2 Bentz, Wolfram
2 Bermond, Jean-Claude
...and 589 more Authors
all top 5

Cited in 118 Serials

106 Discrete Mathematics
68 Journal of Combinatorial Theory. Series B
38 European Journal of Combinatorics
34 Discrete Applied Mathematics
31 Journal of Algebraic Combinatorics
20 Journal of Graph Theory
16 Combinatorica
16 The Electronic Journal of Combinatorics
15 Graphs and Combinatorics
10 Ars Mathematica Contemporanea
9 Applied Mathematics and Computation
9 Discussiones Mathematicae. Graph Theory
8 Mathematica Slovaca
7 Mathematical Proceedings of the Cambridge Philosophical Society
6 Archiv der Mathematik
6 Journal of Combinatorial Theory. Series A
6 Journal of Combinatorial Optimization
5 Israel Journal of Mathematics
5 Mathematische Annalen
5 Theoretical Computer Science
5 Discrete & Computational Geometry
5 Discrete Mathematics, Algorithms and Applications
4 Information Sciences
4 Journal of Algebra
4 Monatshefte für Mathematik
4 International Journal of Computer Mathematics
4 Acta Mathematica Sinica. English Series
4 Electronic Journal of Graph Theory and Applications
4 The Art of Discrete and Applied Mathematics
3 Communications in Algebra
3 Information Processing Letters
3 Mathematical Notes
3 Periodica Mathematica Hungarica
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Czechoslovak Mathematical Journal
3 Journal of Soviet Mathematics
3 Networks
3 Transactions of the American Mathematical Society
3 Aequationes Mathematicae
3 The Australasian Journal of Combinatorics
3 Applied Mathematics. Series B (English Edition)
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Fuzzy Sets and Systems
2 Geometriae Dedicata
2 Journal of Computer and System Sciences
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Proceedings of the American Mathematical Society
2 Acta Mathematicae Applicatae Sinica. English Series
2 Probability Theory and Related Fields
2 European Journal of Operational Research
2 Linear Algebra and its Applications
2 Experimental Mathematics
2 Journal of Mathematical Sciences (New York)
2 Annals of Combinatorics
2 Journal of Applied Mathematics and Computing
2 Mediterranean Journal of Mathematics
2 Science China. Mathematics
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Computers & Mathematics with Applications
1 Houston Journal of Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Linear and Multilinear Algebra
1 Mathematics of Computation
1 Acta Arithmetica
1 Annales de l’Institut Fourier
1 Compositio Mathematica
1 Dissertationes Mathematicae
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Mathematical Programming
1 Notre Dame Journal of Formal Logic
1 Quaestiones Mathematicae
1 Topology and its Applications
1 Statistics & Probability Letters
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 International Journal of Production Research
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Science in China. Series A
1 Annals of Operations Research
1 Computational Geometry
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Acta Mathematica Sinica. New Series
1 Combinatorics, Probability and Computing
1 Turkish Journal of Mathematics
1 Journal of Group Theory
1 Discrete Dynamics in Nature and Society
1 Journal of Discrete Mathematical Sciences & Cryptography
1 African Diaspora Journal of Mathematics
1 Bulletin of the American Mathematical Society
1 The Journal of Prime Research in Mathematics
...and 18 more Serials

Citations by Year