Article ID Journal Published Year Pages File Type
4647338 Discrete Mathematics 2015 5 Pages PDF
Abstract

We determine the maximum number of arcs in an Eulerian digraph of given order and diameter. Our bound generalises a classical result on the maximum number of edges of an undirected graph of given order and diameter by Ore (1968) and Homenko and Ostroverhii˘ (1970). We further determine the maximum size of a bipartite digraph of given order and radius.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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