The Second Minimal Skew Energy of Oriented Bicyclic Digraphs
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
 Adiga, C., Balakrishnan, R. and So, W. (2010) The skew energy of a digraph. Linear Algebra and Its Applications, 432, 1825-1835.
 Shen, X., Hou, Y. and Zhang, C. (2012) Bicyclic digraphs with extremal skew energy. Electron Journal of Linear Algbra, 23, 340-355.
 Hou, Y.P. and Lei, T. (2011) Characteristic polynomials of skew-adjacency matrices of oriented graphs. Electronic Journal of Combinatorics, 18, R156.
 Gong, S., Li, X. and Xu, G. (2014) On oriented graphs with minimal skew energy. Electronic Journal of Linear Algebra, 27, 692-704.
 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.