The number of edges of radius-invariant graphs
β Scribed by Ondrej Vacek
- Book ID
- 111493009
- Publisher
- SP Versita
- Year
- 2009
- Tongue
- English
- Weight
- 385 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0139-9918
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π SIMILAR VOLUMES
Let F = {F,, . . .} be a given class of forbidden graphs. A graph G is called F-saturated if no F, E F is a subgraph of G but the addition of an arbitrary new edge gives a forbidden subgraph. In this paper the minimal number of edges in F-saturated graphs is examined. General estimations are given a
If a graph has q 2 +q+1 vertices (q>13), e edges and no 4-cycles then e 1 2 q(q+1) 2 . Equality holds for graphs obtained from finite projective planes with polarities. This partly answers a question of Erdo s from the 1930's. 1996 Academic Press, Inc. ## 1. Results Let f (n) denote the maximum n