广义星符号模式的秩

摘要

A sign pattern is a matrix whose entries are from the set {+,-,0}. A sign pattern is a generalized star sign pattern if it is combinatorial symmetric and its graph is a generalized star graph. The purpose of this paper is to obtain the bound of minimal rank of any generalized star sign pattern (possibly with nonzero diagonal entries).%一个符号模式是一个元素取自于集合{+,-,0}的矩阵.如果符号模式A是组合对称的,且它的图是一个广义星图,则称A是广义星符号模式.对于任意的广义星符号模式(可能有非零对角元),本文给出其最小秩的界.