Department of Mathematics
On the Laplacian Estrada index of a graph
Let G be a graph of order n. Let λ1, λ2, ... , λn be the eigenvalues of the adjacency matrix of G, and let μ1, μ2, ... , μn be the eigenvalues of the Laplacian matrix of G. Much studied Estrada index of the graph G is defined as We define and investigate the Laplacian Estrada index of the graph G, Bounds for LEE are obtained, as well as some relations between LEE and graph Laplacian energy.
Bound, Laplacian energy, Laplacian estrada index
Source Publication Title
Applicable Analysis and Discrete Mathematics
University of Belgrade and Academic Mind
Li, Jianxi, Wai Chee Shiu, and An Chang. "On the Laplacian Estrada index of a graph." Applicable Analysis and Discrete Mathematics 3.1 (2009): 147-156.