2-factors with the bounded number of com
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Liming Xiong
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Article
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2011
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Elsevier Science
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English
β 210 KB
Let G be a simple graph of order n such that every vertex of degree 1 is adjacent to a vertex of degree at least 3. In this work, we prove that the line graph L(G) has a 2-factor with at most n-1 3 components if every odd branch-bond of G has a shortest branch of length 2. This is a best possible re