Long cycles through specified vertices in a graph
β Scribed by Akira Saito
- Book ID
- 107884281
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 650 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## For a graph G and an integer an independent set of vertices in G}. Enomoto proved the following theorem. Let s β₯ 1 and let G be a (s + 2)-connected graph. Then G has a cycle of length β₯ min{|V (G)|, Ο 2 (G) -s} passing through any path of length s. We generalize this result as follows. Let k β₯
## Abstract We give a sufficient condition for a simple graph __G__ to have __k__ pairwise edgeβdisjoint cycles, each of which contains a prescribed set __W__ of vertices. The condition is that the induced subgraph __G__[__W__] be 2__k__βconnected, and that for any two vertices at distance two in _
## Abstract A minimum degree condition is given for a bipartite graph to contain a 2βfactor each component of which contains a previously specified vertex. Β© 2004 Wiley Periodicals, Inc. J Graph Theory 46: 145β166, 2004