The Primitive Exponent of a Class of Special Nonnegative Matrix Pairs
Mei Jin Luo · Advanced materials research · 2014
There is a one-to-one relationship between nonnegative matrix pairs and two-colored digraph, so the problem of matrices can be changed into that of graphics to be solved. With the knowledge of graph theory, by studying the associated directed digraph of a class of special nonnegative matrix pairs, that is a class of two-colored digraphs whose uncolored digraph have vertices and consists of one-cycle and one-cycle are considered. The exponent and characteristic of extreme two-colored digraphs are given.