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
Covering the vertices of a digraph by cycles of prescribed length
β Scribed by D. Amar; A. Raspaud
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 427 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
the vertices of a digraph by cycles of prescribed length, Discrete Mathematics 87 (
π SIMILAR VOLUMES
The following problem is investigated. Given an undirected graph G, determine the smallest cardinality of a vertex set that meets all complete subgraphs KC G maximal under inclusion.
In this paper we present the upper and lower bounds of the longest directed cycle length for minimal strr,ng digraphs in terms of the numbers of vertices and arcs. These bounds are both sharp. In addition, we give analogous results for minimal 2-edge connected graphs.
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