Neighborhood unions and disjoint chorded cycles in graphs
โ Scribed by Shengning Qiao
- Book ID
- 113567481
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 222 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Let $n\_1,n\_2,\ldots,n\_k$ be integers, $n=\sum n\_i$, $n\_i\ge 3$, and let for each $1\le i\le k$, $H\_i$ be a cycle or a tree on $n\_i$ vertices. We prove that every graph __G__ of order at least __n__ with $\sigma\_2(G) \ge 2( n-k) -1$ contains __k__ vertex disjoint subgraphs $H\_1'
## Abstract Let __G__ be a graph of order __n__ and define __NC(G)__ = min{|__N__(__u__) โช __N__(__v__)| |__uv__ โ __E__(__G__)}. A cycle __C__ of __G__ is called a __dominating cycle__ or __D__โ__cycle__ if __V__(__G__) โ __V__(__C__) is an independent set. A __D__โ__path__ is defined analogously.