Article ID Journal Published Year Pages File Type
4647302 Discrete Mathematics 2015 5 Pages PDF
Abstract
Mixed graphs of order n such that for any pair of vertices there is a unique trail of length at most k between them are known as mixed Moore graphs. These extremal graphs may only exist for diameter k=2 and certain (infinitely many) values of n. In this paper we give some properties of mixed Moore graphs of directed degree one and reduce their existence to the existence of some (undirected) strongly regular graphs.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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