Covering vertices by cycles
β Scribed by Mekkia Kouider
- Book ID
- 102893210
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 900 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
βIf G is a 2βconnected graph with n vertices and minimum degree d, then the vertices of G can be covered by less than n/d cycles. This settles a conjecture of Enomoto, Kaneko and Tuza for 2βconnected graphs.β
π SIMILAR VOLUMES
the vertices of a digraph by cycles of prescribed length, Discrete Mathematics 87 (
The main theorem of that paper is the following: let G be a graph of order n, of size at least (nZ -3n + 6 ) / 2 . For any integers k, n,, n2,. . . , nk such that n = n, + n2 + ... + nk and n, 2 3, there exists a covering of the vertices of G by disjoint cycles (C,),=,..,k with ICjl = n,, except whe