New skew equienergetic oriented graphs

Xiangxiang Liu, Ligong Wang, Cunxiang Duan

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Let S(Gσ) be the skew-adjacency matrix of the oriented graph Gσ, which is obtained from a simple undirected graph G by assigning an orientation σ to each of its edges. The skew energy of an oriented graph Gσ is defined as the sum of absolute values of all eigenvalues of S(Gσ). Two oriented graphs are said to be skew equienergetic if their skew energies are equal. In this paper, we determine the skew spectra of some new oriented graphs. As applications, we give some new methods to construct new non-cospectral skew equienergetic oriented graphs.

Original languageEnglish
Pages (from-to)15-24
Number of pages10
JournalCommunications in Combinatorics and Optimization
Volume4
Issue number1
DOIs
StatePublished - Dec 2019

Keywords

  • Oriented graph
  • Skew energy
  • Skew equienergetic

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