Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  427.05042
Autor:  Erdös, Paul; Fajtlowicz, Siemion; Hoffman, Alan J.
Title:  Maximum degree in graphs of diameter 2. (In English)
Source:  Networks 10, 87-90 (1980).
Review:  It is well known that there are at most four Moore graphs of diameter 2, i.e., graphs of diameter 2, maximum degree d, and d2+1 vertices. The purpose of this paper is to prove that with the exception of C4, there are no graphs of diameter 2, of maximum degree d, and with d2 vertices.
Classif.:  * 05C35 Extremal problems (graph theory)
                   05C38 Paths and cycles
Keywords:  Moore graphs; diameter; maximum degree

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