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» On pancyclism in hamiltonian graphs
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IPL
2002
71views more  IPL 2002»
14 years 11 months ago
Pancyclicity of recursive circulant graphs
In this paper, we study the existence of cycles of all lengths in the recursive circulant graphs, and we show a necessary and sufficient condition for the graph being pancyclic an...
Toru Araki, Yukio Shibata
SIAMCOMP
2010
135views more  SIAMCOMP 2010»
14 years 6 months ago
Intractability of Clique-Width Parameterizations
We show that Edge Dominating Set, Hamiltonian Cycle, and Graph Coloring are W[1]-hard parameterized by clique-width. It was an open problem, explicitly mentioned in several papers,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
DM
2002
83views more  DM 2002»
14 years 11 months ago
Pancyclicity in claw-free graphs
In this paper, we present several conditions for K1,3-free graphs, which guarantee the graph is subpancyclic. In particular, we show that every K1,3-free graph with minimum degree...
Ronald J. Gould, Florian Pfender
GC
2007
Springer
14 years 11 months ago
An s -Hamiltonian Line Graph Problem
For an integer k > 0, a graph G is k-triangular if every edge of G lies in at least k distinct 3-cycles of G. In (J Graph Theory 11:399–407 (1987)), Broersma and Veldman propo...
Zhi-Hong Chen, Hong-Jian Lai, Wai-Chee Shiu, Deyin...
DM
2008
83views more  DM 2008»
14 years 11 months ago
Degree conditions on claws and modified claws for hamiltonicity of graphs
Ore presented a degree condition involving every pair of nonadjacent vertices for a graph to be hamiltonian. Fan (J. Combin. Theory Ser. B 37 (1984) 221
Jun Fujisawa, Tomoki Yamashita