Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773222 | Linear Algebra and its Applications | 2017 | 23 Pages |
Abstract
Let G be a mixed graph with n vertices, H(G) the Hermitian adjacency matrix of G, and λ1(G),λ2(G),â¦,λn(G) the eigenvalues of H(G). The Hermitian energy of G is defined as EH(G)=âi=1n|λi(G)|. In this paper we characterize the limiting spectral distribution of the Hermitian adjacency matrices of random mixed graphs, and as an application, we give an estimation of the Hermitian energy for almost all mixed graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Dan Hu, Xueliang Li, Xiaogang Liu, Shenggui Zhang,