2-factors with the bounded number of com
✍
Liming Xiong
📂
Article
📅
2011
🏛
Elsevier Science
🌐
English
⚖ 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