A Characterization of Graphs without Even Factors
β Scribed by Xueliang Li; Zhao Zhang
- Book ID
- 106047619
- Publisher
- Springer Japan
- Year
- 2006
- Tongue
- English
- Weight
- 95 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove that every bipartite C 2' -free graph G contains a C 4free subgraph H with e(H) ! e(G)=(' Γ 1). The factor 1=(' Γ 1) is best possible. This implies that ex(n; C 2' ) 2(' Γ 1)ex(n; fC 4 ; C 2' g), which settles a special case of a conjecture of Erdo Λs and Simonovits.
## Abstract In a connected graph define the kβcenter as the set of vertices whose distance from any other vertex is at most __k.__ We say that a vertex set __S__ __d__βdominates __G__ if for every vertex x there is a y β __S__ whose distance from __x__ is at most __d__. Call a graph __P~t~__βfree
Some sufficient conditions are proven for the complete graph of even order with a 1-factor removed to be decomposable into even length cycles. 0 1994 John Wiley & Sons, Inc. ## 1. Introduction It is natural to ask when a complete graph admits a decomposition into cycles of some fixed length. Since