Longest cycles in k-connected graphs with given independence number
β Scribed by Suil O; Douglas B. West; Hehui Wu
- Book ID
- 113698880
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 164 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a connected graph, where k 2. S. Smith conjectured that every two longest cycles of G have at least k vertices in common. In this note, we show that every two longest cycles meet in at least ck 3Γ5 vertices, where cr0.2615. ## 1998 Academic Press In this note, we provide a lower bound on
## Abstract We consider finite, undirected, and simple graphs __G__ of order __n__(__G__) and minimum degree Ξ΄(__G__). The connectivity ΞΊ(__G__) for a connected graph __G__ is defined as the minimum cardinality over all vertexβcuts. If ΞΊ(__G__)β<βΞ΄(__G__), then Topp and Volkmann 7 showed in 1993 f
Sanchis, L.A., Maximum number of edges in connected graphs with a given domination number, Discrete Mathematics 87 (1991) 65-72.