A lower bound for minimum positive semidefinite rank by constructing an OS-vertex set for a given graph

被引：0

作者：

Lei, Li ^{[1
,2
]}

Huang, Ting-Zhu ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] E China Inst Technol, Sch Math & Informat Sci, Fuzhou 344000, Peoples R China

来源：

INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL | 2011年 / 14卷 / 06期

关键词：

OS-vertex set; minimum rank; positive semidefinite matrix; graph; MATRICES;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Let S(G) denote a class of positive semipositive matrices associated with the given graph G, and msr(G) be the minimum rank of matrices among S(G). A lower bound of msr(G) given in Jiang, Mitchell and Narayan [Unitary matrix digraphs and minimum semidefinite rank, Linear Alg. Appl., 428(2008): 1685-1695] for bipartite graph is generalized, to any graph. Moreover, a method to construct an OS-vertex set is proposed.

引用

页码：1873 / 1878

页数：6

共 6 条

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