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CORR
2004
Springer
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13 years 10 months ago
Locally connected spanning trees on graphs
A locally connected spanning tree of a graph G is a spanning tree T of G such that the set of all neighbors of v in T induces a connected subgraph of G for every v V (G). The pur...
Ching-Chi Lin, Gerard J. Chang, Gen-Huey Chen
DM
2006
64views more  DM 2006»
13 years 11 months ago
Path extendability of claw-free graphs
Let G be a connected, locally connected, claw-free graph of order n and x, y be two vertices of G. In this paper, we prove that if for any 2-cut S of G, S {x, y} = , then each (x...
Yu Sheng, Feng Tian, Jianglu Wang, Bing Wei, Yongj...