Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  209.28001
Autor:  Erdös, Paul; Simonovits, M.
Title:  Some extremal problems in graph theory (In English)
Source:  Combinat. Theory Appl., Colloquia Math. Soc. Janos Bolyai 4, 377-390 (1970).
Review:  [For the entire collection see Zbl 205.00201.]
The authors prove several results on extremal graphs and state several unsolved problems. Here we only state one theorem. Let C be the graph of 8 vertices and 12 edges determined by the vertices and edges of a cube. The authors prove that every graph of n vertices and c1n8/5 edges contains C as a subgraph. It is an unsolved problem if this theorem is best possible. In other words we do not know if there is a graph of n vertices and c2n8/5 edges which does not contain C as a subgraph.
Classif.:  * 05C35 Extremal problems (graph theory)
Citations:  Zbl 205.00201(EA)

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