Article ID Journal Published Year Pages File Type
4652414 Electronic Notes in Discrete Mathematics 2009 5 Pages PDF
Abstract

A weighted digraph graph D is said to be doubly stochastic if all the weights of the edges in D are in [0, 1] and sum of the weights of the edges incident to each vertex in D is one. Let Ω(G) be denoted as set of all doubly stochastic digraphs with n vertices. We defined a Graph Mates in Ω(G) and derived a necessary and sufficient condition for two doubly stochastic digraphs are to be a Graph Mates.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics