Largest size and union of Helly families
β Scribed by Zsolt Tuza
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 557 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We present a conjecture, with some supporting results, concerning the maximum size of a family of subsets satisfying the following conditions: the intersection of any two members of the family has cardinal@ at least s, and the intersection of the complements of any two members has cardinal@ at least
## Abstract We produce in this paper an upper bound for the number of vertices existing in a clique of maximum cardinal. The proof is based in particular on the existence of a maximum cardinal clique that contains no vertex __x__ such that the neighborhood of __x__ is contained in the neighborhood
## Abstract A graph is point determining if distinct vertices have distinct neighborhoods. The nucleus of a pointβdetermining graph is the set __G__^O^ of all vertices, __v__, such that __G__β__v__ is point determining. In this paper we show that the size, Ο(__G__), of a maximum clique in __G__ sat