Journal of Applied Mathematics
Volume 2013 (2013), Article ID 757542, 7 pages
http://dx.doi.org/10.1155/2013/757542
Research Article

Bounds for Incidence Energy of Some Graphs

Weizhong Wang1,2 and Dong Yang2

1Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China
2Department of Mathematics, Lanzhou University, Lanzhou 730000, China

Received 23 April 2013; Accepted 2 July 2013

Academic Editor: Magdy A. Ezzat

Copyright © 2013 Weizhong Wang and Dong Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Let be a simple graph. The incidence energy ( for short) of is defined as the sum of the singular values of the incidence matrix. In this paper, a new upper bound for of graphs in terms of the maximum degree is given. Meanwhile, bounds for of the line graph of a semiregular graph and the paraline graph of a regular graph are obtained.