# A closure concept in factor-critical graphs

2 引用 (Scopus)

### 抄録

A graph G is called n-factor-critical if the removal of every set of n vertices results in a graph with a 1-factor. We prove the following theorem: Let G be a graph and let x be a locally n-connected vertex. Let {μ, v} be a pair of vertices in V(G) - {x} such that uv E(G), x ∈ NG(u) ∩ NG(v), and NG(x) ⊂ NG(u) ∪ NG(v) ∪ {u,v}. Then G is n-factor-critical if and only if G + uv is n-factor-critical.

元の言語 English 319-324 6 Discrete Mathematics 259 1-3 Published - 2002 12 28

### ASJC Scopus subject areas

• Discrete Mathematics and Combinatorics
• Theoretical Computer Science

### これを引用

：: Discrete Mathematics, 巻 259, 番号 1-3, 28.12.2002, p. 319-324.

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