Clique covering of graphs
β Scribed by L. Pyber
- Book ID
- 110564313
- Publisher
- Springer-Verlag
- Year
- 1986
- Tongue
- English
- Weight
- 267 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given a finite set D of positive integers, the distance graph G(Z , D) has Z as the vertex set and {i j : |i -j| β D} as the edge set. Given D, the asymptotic clique covering ratio is defined as S(D) = lim sup nββ n cl(n) , where cl(n) is the minimum number of cliques covering any consecutive n vert
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.