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

作者: 高育博 , 冶成福 :青海师范大学数学系,青海 西宁;

关键词: 有向双圈图斜邻接矩阵斜能量Oriented Bicyclic Graphs Skew Adjacency Matrix Skew Energy

摘要:
斜能量在化学能量方面具有广泛的应用,由于共轭分子的量子化学的一个重要特性是它的π-电子能量。在本篇文献中,我们通过比较有向双圈图的斜特征多项式的系数,给出有向双圈图的斜能量的偏序关系,从而得到有向双圈图的第二小斜能量。

Abstract: The energy of a graph has closed links to chemistry, since an important quantum-chemical cha-racteristic 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.

文章引用: 高育博 , 冶成福 (2015) 有向双圈图的第二小斜能量。 应用数学进展, 4, 77-82. doi: 10.12677/AAM.2015.42010

参考文献

[1] Adiga, C., Balakrishnan, R. and So, W. (2010) The skew energy of a digraph. Linear Algebra and Its Applications, 432, 1825-1835.

[2] Shen, X., Hou, Y. and Zhang, C. (2012) Bicyclic digraphs with extremal skew energy. Electron Journal of Linear Algbra, 23, 340-355.

[3] Hou, Y.P. and Lei, T. (2011) Characteristic polynomials of skew-adjacency matrices of oriented graphs. Electronic Journal of Combinatorics, 18, R156.

[4] Gong, S., Li, X. and Xu, G. (2014) On oriented graphs with minimal skew energy. Electronic Journal of Linear Algebra, 27, 692-704.

[5] Gong, S. and Xu, G. (2012) The characteristic polynomial and the matchings polynomial of a weighted oriented graph. Linear Algebra and its Applications, 436, 3597-3607.

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