On Eigenvalues of Hermitian-Adjacency Matrix

Olayiwola Babarinsa; Azfi Zaidi Mohammad Sofi; Mohd Asrul Hery Ibrahim; Hailiza Kamarulhaili; Dlal Bashir

doi:10.26713/cma.v11i2.1348

Authors

Olayiwola Babarinsa Faculty of Bioengineering & Technology, Universiti Malaysia Kelantan, 16100 Kota Bharu, Kelantan, Malaysia; Department of Mathematical Sciences, Federal University Lokoja, 1154 Kogi State, Nigeria
Azfi Zaidi Mohammad Sofi Faculty of Bioengineering & Technology, Universiti Malaysia Kelantan, 16100 Kota Bharu, Kelantan
Mohd Asrul Hery Ibrahim Faculty of Bioengineering & Technology, Universiti Malaysia Kelantan, 16100 Kota Bharu, Kelantan
Hailiza Kamarulhaili School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Pulau Pinang
Dlal Bashir School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Pulau Pinang

DOI:

https://doi.org/10.26713/cma.v11i2.1348

Keywords:

Eigenvalues, Hermitian-adjacency matrix, Mixed graph, Hamiltonian cycle

Abstract

The graph of Hermitian-adjacency matrix is a mixed graph consisting adjacency matrix of an undirected graph and skew-adjacency matrix of a digraph. In this paper we discuss eigenvalues of Hermitian-adjacency matrix. Then we use the eigenvalues to determine the possible Hamiltonian cycles of its graph.

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