Voltage graphs, group presentations and cages.
Exoo, Geoffrey (2004)
The Electronic Journal of Combinatorics [electronic only]
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Exoo, Geoffrey (2004)
The Electronic Journal of Combinatorics [electronic only]
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Svatopluk Poljak, Daniel Turzík (1978)
Commentationes Mathematicae Universitatis Carolinae
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Pavol Híc (1984)
Mathematica Slovaca
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Wojciech Wide (2017)
Discussiones Mathematicae Graph Theory
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A graph G on n vertices is said to be pancyclic if it contains cycles of all lengths k for k ∈ {3, . . . , n}. A vertex v ∈ V (G) is called super-heavy if the number of its neighbours in G is at least (n+1)/2. For a given graph H we say that G is H-f1-heavy if for every induced subgraph K of G isomorphic to H and every two vertices u, v ∈ V (K), dK(u, v) = 2 implies that at least one of them is super-heavy. For a family of graphs H we say that G is H-f1-heavy, if G is H-f1-heavy for...
P K. Jha, G Slutzki (1991)
Applicationes Mathematicae
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Juraj Bosák (1979)
Mathematica Slovaca
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Daniel C. Slilaty, Thomas Zaslavsky (2015)
Discussiones Mathematicae Graph Theory
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The line graph of a graph with signed edges carries vertex signs. A vertex-signed graph is consistent if every circle (cycle, circuit) has positive vertex-sign product. Acharya, Acharya, and Sinha recently characterized line-consistent signed graphs, i.e., edge-signed graphs whose line graphs, with the naturally induced vertex signature, are consistent. Their proof applies Hoede’s relatively difficult characterization of consistent vertex-signed graphs. We give a simple proof that does...
Hossein Karami, Rana Khoeilar, Seyed Mahmoud Sheikholeslami (2013)
Kragujevac Journal of Mathematics
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