On Eigenvalues of Hermitian-Adjacency Matrix

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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References

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Published

30-06-2020
CITATION

How to Cite

Babarinsa, O., Mohammad Sofi, A. Z., Ibrahim, M. A. H., Kamarulhaili, H., & Bashir, D. (2020). On Eigenvalues of Hermitian-Adjacency Matrix. Communications in Mathematics and Applications, 11(2), 215–220. https://doi.org/10.26713/cma.v11i2.1348

Issue

Vol. 11 No. 2 (2020)

Section

Research Article

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