An improved upper bound for the order of mixed graphs
Data de publicació2018
MetadadesMostra el registre d'unitat complet
A mixed graph G can contain both (undirected) edges and arcs (directed edges). Here we derive an improved Moore-like bound for the maximum number of vertices of a mixed graph with diameter at least three. Moreover, a complete enumeration of all optimal (1; 1)-regular mixed graphs with diameter three is presented, so proving that, in general, the proposed bound cannot be improved.