JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (6): 53-58.doi: 10.6040/j.issn.1671-9352.0.2018.300

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On the Hermitian-incidence energy of mixed graphs

WANG Wei-zhong, ZHOU Kun-qiang   

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2019-06-05

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Abstract: By introducing a new concept— Hermitian-incidence energy(HIE)of a mixed graph M, HIE(M)=∑ni=1(qi)1/2(where qi is the i-th eigenvalues of the Hermitian quasi-Laplacian matrix of M), we mainly point out some bounds to HIE using the number of vertices, edges, and the maximum degrees of M.

Key words: mixed graphs, Hermitian quasi-Laplacian matrix, Hermitian-incidence energy

CLC Number: 

  • O157.5
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