TY - JOUR
T1 - The spectral distribution of random mixed graphs
AU - Hu, Dan
AU - Li, Xueliang
AU - Liu, Xiaogang
AU - Zhang, Shenggui
N1 - Publisher Copyright:
© 2017 Elsevier Inc.
PY - 2017/4/15
Y1 - 2017/4/15
N2 - Let G be a mixed graph with n vertices, H(G) the Hermitian adjacency matrix of G, and λ1(G),λ2(G),…,λn(G) the eigenvalues of H(G). The Hermitian energy of G is defined as EH(G)=∑i=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.
AB - Let G be a mixed graph with n vertices, H(G) the Hermitian adjacency matrix of G, and λ1(G),λ2(G),…,λn(G) the eigenvalues of H(G). The Hermitian energy of G is defined as EH(G)=∑i=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.
KW - Empirical spectral distribution
KW - Hermitian energy
KW - Limiting spectral distribution
KW - Random mixed graphs
UR - http://www.scopus.com/inward/record.url?scp=85010217260&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2017.01.011
DO - 10.1016/j.laa.2017.01.011
M3 - 文章
AN - SCOPUS:85010217260
SN - 0024-3795
VL - 519
SP - 343
EP - 365
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
ER -