The minimum number of vertices with girth 6 and degree set D={r,m}

Yuansheng, Yang; Liang, Weifa

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The minimum number of vertices with girth 6 and degree set D={r,m}

Date

2003

Authors

Yuansheng, Yang

Liang, Weifa

Publisher

Elsevier

Abstract

A (D;g)-cage is a graph having the minimum number of vertices, with degree set D and girth g. Denote by f(D;g) the number of vertices in a (D;g)-cage. In this paper it is shown that f({r,m};6)≥2(rm-m+1) for any 2≤r<m, and f({r,m};6)=2(rm-m+1) if eithe