The following conjecture of T. Gallai is proved: If G is a chordal graph on n vertices, such that all its maximal complete subgraphs have order at least 3, then there is a vertex set of cardinality ~n/3 which meets all maximal complete subgraphs of G. Further related results are given.
Covering the cliques of a graph with vertices
✍ Scribed by Paul Erdős; Tibor Gallai; Zsolt Tuza
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 681 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
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.
📜 SIMILAR VOLUMES
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