The existence of even factors in iterated line graphs |
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Authors: | Liming Xiong |
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Institution: | Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China |
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Abstract: | An even factor of a graph is a spanning subgraph of G in which all degrees are even, positive integers. In this paper, we characterize the claw-free graphs having even factors and then prove that the n-iterated line graph Ln(G) of G has an even factor if and only if every end branch of G has length at most n and every odd branch-bond of G has a branch of length at most n+1. |
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Keywords: | Even factor Iterated line graph Claw-free graph Branch-bond |
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