Oriented unicyclic graphs with extremal skew energy

Hou Yaoping; Shen Xiaoling; Zhang Chongyan

Oriented unicyclic graphs with extremal skew energy

Combinatorics 2011-09-01 v1

Authors: Hou Yaoping , Shen Xiaoling , Zhang Chongyan

Abstract

Let $\G$ be an oriented graph of order $n$ and $\a_1,\a_2,..., \a_n$ denote all the eigenvalues of the skew-adjacency matrix of $\G.$ The skew energy $\displaystyle{\cal E}_s(\G)= \sum_{i=1}^{n} |\a_i|.$ In this paper, the oriented unicyclic graphs with minimal and maximal skew energy are determined.

Keywords

graph energy graph theory spectral graph theory

Cite

@article{arxiv.1108.6229,
  title  = {Oriented unicyclic graphs with extremal skew energy},
  author = {Hou Yaoping and Shen Xiaoling and Zhang Chongyan},
  journal= {arXiv preprint arXiv:1108.6229},
  year   = {2011}
}

Comments

10pages, 1 figure

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