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On 2-factors with a bounded number of odd components

✍ Scribed by Diemunsch, Jennifer; Ferrara, Michael; Graffeo, Samantha; Morris, Timothy


Book ID
121746995
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
433 KB
Volume
323
Category
Article
ISSN
0012-365X

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2-factors with the bounded number of com
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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