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Abstrakty
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.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
373-378
Opis fizyczny
Daty
wydano
2012
otrzymano
2010-10-29
poprawiono
2011-06-08
zaakceptowano
2011-06-08
Twórcy
autor
- Department of Mathematics and Statistics, Wright State University, Dayton, Ohio 45435 USA
Bibliografia
- [1] A. Brandstädt, V.B. Le and J.P. Spinrad, Graph Classes: A Survey (Society for Industrial and Applied Mathematics, Philadelphia, 1999).
- [2] G.A. Dirac, Minimally 2-connected graphs, J. Reine Angew. Math. 228 (1967) 204-216, doi: 10.1515/crll.1967.228.204.
- [3] R.J. Faudree, R.J. Gould, M.S. Jacobson and L.M. Lesniak, Degree conditions and cycle extendability, Discrete Math. 141 (1995) 109-122, doi: 10.1016/0012-365X(93)E0193-8.
- [4] B.Lévêque, F. Maffray and N. Trotignon, On graphs with no induced subdivision of K₄, submitted.
- [5] T.A. McKee, Strongly pancyclic and dual-pancyclic graphs, Discuss. Math. Graph Theory 29 (2009) 5-14, doi: 10.7151/dmgt.1429.
- [6] T.A. McKee and F.R. McMorris, Topics in Intersection Graph Theory (Society for Industrial and Applied Mathematics, Philadelphia, 1999).
- [7] M.D. Plummer, On minimal blocks, Trans. Amer. Math. Soc. 134 (1968) 85-94, doi: 10.1090/S0002-9947-1968-0228369-8.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1606