A graph is an intersection graph if it is possible to assign sets to its vertices so that adjacency corresponds exactly to nonempty intersection. If the sets assigned to vertices must belong to a pre-specified family, the resulting class of all possible intersection graphs is called an intersection
Intersection Dimensions of Graph Classes
β Scribed by Jan Kratochvil; Zsolt Tuza
- Book ID
- 105677098
- Publisher
- Springer Japan
- Year
- 1994
- Tongue
- English
- Weight
- 530 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A general method for the computation of various parameters measuring the vulnerability of a graph is introduced. Four measures of vulnerability are considered, i.e., the toughness, scattering number, vertex integrity and the size of a minimum balanced separator. We show how to compute these paramete
Let G and H be two graphs of order n. If we place copies of G and H on a common vertex set, how much or little can they be made to overlap? The aim of this article is to provide some answers to this question, and to pose a number of related problems. Along the way, we solve a conjecture of Erd" os,