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» 2-Factors in Hamiltonian Graphs
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JAIR
1998
92views more  JAIR 1998»
14 years 11 months ago
The Gn, m Phase Transition is Not Hard for the Hamiltonian Cycle Problem
Using an improved backtrack algorithm with sophisticated pruning techniques, we revise previous observations correlating a high frequency of hard to solve Hamiltonian cycle instan...
Basil Vandegriend, Joseph C. Culberson
JCT
2010
110views more  JCT 2010»
14 years 10 months ago
Pancyclicity of Hamiltonian and highly connected graphs
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
Peter Keevash, Benny Sudakov
DM
2011
223views Education» more  DM 2011»
14 years 6 months ago
On graph equivalences preserved under extensions
Let G be the set of finite graphs whose vertices belong to some fixed countable set, and let ≡ be an equivalence relation on G. By the strengthening of ≡ we mean an equivalen...
Zbigniew Lonc, Miroslaw Truszczynski
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
APPML
2008
92views more  APPML 2008»
14 years 12 months ago
On the domination number of Hamiltonian graphs with minimum degree six
Let G = (V, E) be a simple graph. A set D V is a dominating set of G if every vertex of V - D is adjacent to a vertex of D. The domination number of G, denoted by (G), is the min...
Hua-Ming Xing, Johannes H. Hattingh, Andrew R. Plu...