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.
Scopus Subject Areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics
- Laplacian energy
- Laplacian estrada index