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» On pancyclism in hamiltonian graphs
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IPL
2002
71views more  IPL 2002»
13 years 7 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»
13 years 2 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»
13 years 7 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
13 years 7 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»
13 years 7 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