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» Degree conditions on claws and modified claws for hamiltonic...
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DM
2008
83views more  DM 2008»
14 years 10 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
DM
2008
68views more  DM 2008»
14 years 10 months ago
Heavy cycles in k-connected weighted graphs with large weighted degree sums
A weighted graph is one in which every edge e is assigned a nonnegative number w(e), called the weight of e. The weight of a cycle is defined as the sum of the weights of its edge...
Bing Chen, Shenggui Zhang, T. C. Edwin Cheng
DM
2008
95views more  DM 2008»
14 years 10 months ago
Forbidden subgraphs and the existence of paths and cycles passing through specified vertices
In [2], Duffus et al. showed that every connected graph G which contains no induced subgraph isomorphic to a claw or a net is traceable. And they also showed that if a 2-connected...
Jun Fujisawa, Katsuhiro Ota, Takeshi Sugiyama, Mas...