期刊论文

Li, Shuchao

英文

Linear Algebra and its Applications

0024-3795

2020

588

19-53

10.1016/j.laa.2019.11.018

Financially supported by the National Natural Science Foundation of China (Grant Nos. 11671164, 11271149), and the excellent doctoral dissertation cultivation grant from Central China Normal University (Grant No. 2019YBZZ061).

本校为第一且通讯机构

Given a graph G, the mixed graph D-G is obtained from G by orienting some of its edges, where G is called the underlying graph of D-G. Let p(D-G), n(D-G) (resp. P(G), n(G)) be the positive inertia index and negative inertia index of D-G (resp. G). In this paper, we first establish the inequalities -d(G) p(D-G)-p(G)