## Abstract Two graphs on the same vertex set form a cross‐intersecting couple if they have a pair of clique coverings with the property that every pair of cliques from the respective coverings intersect. In particular, a graph is called normal if it forms a cross‐intersecting couple with its compl
Intersections of graphs
✍ Scribed by Béla Bollobás; Alex Scott
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 193 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
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, Goldberg, Pach and Spencer.
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