Bounds for Incidence Energy of Some Graphs

Abstract

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