Extremal problems in graph theory
✍ Scribed by Béla Bollobás
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 304 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The aim of this note is to give an account of some recent results and state a number of conjectures concerning extremal properties of graphs.
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## Abstract A list of 31 problems presented here reflects some of the main trends in topological graph theory.
The main treasure that Paul Erdős has left us is his collection of problems, most of which are still open today. These problems are seeds that Paul sowed and watered by giving numerous talks at meetings big and small, near and far. In the past, his problems have spawned many areas in graph theory an
Let r, t 2 2 be integers and c a constant, 0 < c 5 ( r -2 ) / ( r -1). Suppose that G is a &-free graph on n vertices in which any t distinct vertices have at most cn common neighbors. Here an asymptotically best bound is obtained for the maximal number of edges in such graphs. This solves a problem