Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  686.05029
Autor:  Erdös, Paul; Pach, János; Pollack, Richard; Tuza, Zsolt
Title:  Radius, diameter, and minimum degree. (In English)
Source:  J. Comb. Theory, Ser. B 47, No.1, 73-79 (1989).
Review:  The authors prove that the diameter of a connected graph G with n vertices and minimum degree \delta \geq 2 is bounded from above by [3n/(\delta+1)]-1, and that this bound is asymptotically sharp where \delta is fixed and n tends to infinity. They show an analogous result for the radius of G, and also give upper bounds for triangle-free and C4-free connected graphs.
Reviewer:  Ch.Schulz
Classif.:  * 05C35 Extremal problems (graph theory)
                   05C38 Paths and cycles
Keywords:  diameter; minimum degree; radius

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