﻿ 有向双圈图的第二小斜能量 The Second Minimal Skew Energy of Oriented Bicyclic Digraphs

Vol.04 No.02(2015), Article ID:15045,5 pages
10.12677/AAM.2015.42010

The Second Minimal Skew Energy of Oriented Bicyclic Digraphs

Yubo Gao, Chengfu Ye

Department of Mathematics, Qinghai Normal University , Xining Qinghai

Email: 610506630@qq.com

Received: Mar. 19th, 2015; accepted: Apr. 2nd, 2015; published: Apr. 8th, 2015

ABSTRACT

The energy of a graph has closed links to chemistry, since an important quantum-chemical characteristic of a conjugated molecule is its total π-electron energy. In this paper, we compared the characteristic polynomial coefficients of oriented bicyclic graphs and gave the skew energy’s partial relation of oriented bicyclic graphs, and thus we got the second minimal skew energy of oriented bicyclic graphs.

Keywords:Oriented Bicyclic Graphs, Skew Adjacency Matrix, Skew Energy

Email: 610506630@qq.com

1. 预备知识

. (2.1)

. (2.2)

. (2.3)对于一个不包含偶圈图 (特别地，一棵树或单圈非二部图)任意定向，根据引理1我们有。引理4 [2] 对于一个图匹配数目，我们有以下结论：令是图的一条边，则

Figure 1. Minimal skew energy of oriented bicyclic graphs

2. 主要结论

，则不含悬挂点。以下我们分三种情况进行考虑：

The Second Minimal Skew Energy of Oriented Bicyclic Digraphs. 应用数学进展,02,77-82. doi: 10.12677/AAM.2015.42010

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