Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  822.05036
Autor:  Erdös, Paul; Füredi, Z.; Gould, R.J.; Gunderson, D.S.
Title:  Extremal graphs for intersecting triangles. (In English)
Source:  J. Comb. Theory, Ser. B 64, No.1, 89-100 (1995).
Review:  A k-fan is a graph with 2k+1 vertices consisting of k 3-cycles having one vertex in common. The authors show that if n \geq 50k2 and the graph Gn has more than [n2/4]+k2- ck edges, where c equals 1 or 3/2 according as k is odd or even, then Gn contains a k-fan; furthermore, the bound for the number of edges is best possible.
Reviewer:  J.W.Moon (Edmonton)
Classif.:  * 05C35 Extremal problems (graph theory)
                   05C38 Paths and cycles
Keywords:  intersecting triangles; extremal graphs; fan; 3-cycles

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