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Hamiltonicity of bipartite biclaw-free graphs

✍ Scribed by E. Flandrin; J.L. Fouquet; H. Li


Book ID
104183142
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
464 KB
Volume
51
Category
Article
ISSN
0166-218X

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Flandrin et ai. (to appear) define a simple bipartite graph to be biclaw-free if it contains no induced subgraph isomorphic to H, where H could be obtained from two copies of K1.3 by adding an edge joining the two vertices of degree 3. They have shown that if G is a bipartite, balanced, biclaw-free

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## Abstract In this paper, we investigate the Hamiltonicity of __K__~1,r~‐free graphs with some degree conditions. In particular, let __G__ be a __k__‐connected grph of order __n__≧3 which is __K__~1,4~‐free. If magnified image for every independent set {__v__~0~, __v__~1~, …, __v__~k~} then __G__