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An extremal graph problem

✍ Scribed by P. Erdős; M. Simonovits


Publisher
Akadmiai Kiad
Year
1972
Tongue
English
Weight
409 KB
Volume
22
Category
Article
ISSN
1588-2632

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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