This book is about graph energy. The authors have included many of the important results
on graph energy, such as the complete solution to the conjecture on maximal energy of …

Let G be a graph with n vertices and m edges. 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 …

The D-eigenvalues of a graph G are the eigenvalues of its distance matrix D, and the D-
energy ED (G) is the sum of the absolute values of its D-eigenvalues. Two graphs are said to …

In this chapter we are concerned with the eigenvalues of graphs and some of their chemical
applications. Let G be a (simple) graph, with vertex set V (G) and edge set E (G). The …

ON THE ENERGY OF REGULAR GRAPHS Page 1 ON THE ENERGY OF REGULAR GRAPHS
Ivan Gutman,a Sanaz Zare Firoozabadi,b José Antonio de la Penac and Juan Radad aFaculty …

In this paper, we introduce the concept of color energy of a graph, Ec (G) and compute the
color energy Eχ (G) of few families of graphs with minimum number of colors. It depends on …

Abstract The authors' monograph Spectral Generalizations of Line Graphs was published in
2004, following the successful use of star complements to complete the classification of …

The energy of a graph G is the sum of the absolute values of its eigenvalues. Two non-
isomorphic graphs of same order are said to be equienergetic if their energies are equal. In …

The energy of a graph is equal to the sum of the absolute values of its eigenvalues. The
energy of a matrix is equal to the sum of its singular values. We establish relations between …

ON SPECTRAL MOMENTS AND ENERGY OF GRAPHS Page 1 ON SPECTRAL MOMENTS
AND ENERGY OF GRAPHS Bo Zhou, a Ivan Gutman, b José Antonio de la Pena, c Juan …