Tricyclic Oriented Graphs with Maximal Skew Energy

详细信息    查看全文

• 作者：Xueliang Li ; Zhongmei Qin ; Kang Yang…
• 关键词：Tricyclic graph ; Skew ; adjacency matrix ; Skew energy
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：40
• 期：1
• 页码：321-333
• 全文大小：
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206
• 卷排序：40

文摘

Let \(G^\sigma \) be an oriented graph obtained by assigning an orientation \(\sigma \) to the edge set of a simple undirected graph G. Let \(S(G^\sigma )\) be the skew-adjacency matrix of \(G^\sigma \). The skew energy of \(G^\sigma \) is defined as the sum of the absolute values of all eigenvalues of \(S(G^\sigma )\). In this paper, we determine the tricyclic oriented graphs of order \(n\ge 13\) with the maximal skew energy.