A problem concerning -pancyclic graphs
Vasil Jacoš, Stanislav Jendroľ (1974)
Matematický časopis
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Vasil Jacoš, Stanislav Jendroľ (1974)
Matematický časopis
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Lai, Chunhui (2001)
The Electronic Journal of Combinatorics [electronic only]
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E. Bampis, Y. Manoussakis, I. Milis (1999)
RAIRO - Operations Research - Recherche Opérationnelle
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Terry A. McKee (2012)
Discussiones Mathematicae Graph Theory
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A graph is edge cycle extendable if every cycle C that is formed from edges and one chord of a larger cycle C⁺ is also formed from edges and one chord of a cycle C' of length one greater than C with V(C') ⊆ V(C⁺). Edge cycle extendable graphs are characterized by every block being either chordal (every nontriangular cycle has a chord) or chordless (no nontriangular cycle has a chord); equivalently, every chord of a cycle of length five or more has a noncrossing chord.
Maciej Sysło (1982)
Banach Center Publications
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A. Benkouar, Y. Manoussakis, V. Th. Paschos, R. Saad (1996)
RAIRO - Operations Research - Recherche Opérationnelle
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Martin Trinks (2014)
Discussiones Mathematicae Graph Theory
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Whitney’s Broken-cycle Theorem states the chromatic polynomial of a graph as a sum over special edge subsets. We give a definition of cycles in hypergraphs that preserves the statement of the theorem there