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 …

Introduction to Chemical Graph Theory is a concise introduction to the main topics and
techniques in chemical graph theory, specifically the theory of topological indices. These …

Given a commutative ring R with identity 1≠ 0, let the set Z (R) denote the set of zero-
divisors and let Z*(R)= Z (R)\{0} be the set of non-zero zero-divisors of R. The zero-divisor …

Let G be a simple graph with n vertices, m edges, maximum degree Δ, average degree d‾= 2
mn, clique number ω having Laplacian eigenvalues μ 1, μ 2,…, μ n− 1, μ n= 0. For k (1≤ k≤ …

Let G be a graph with n vertices and m edges. Also let μ 1, μ 2,…, μ n− 1, μ n= 0 be the
eigenvalues of the Laplacian matrix of graph G. The Laplacian energy of the graph G is …

For a simple graph G with n-vertices, m edges and having Laplacian eigenvalues μ 1, μ 2,…,
μ n− 1, μ n= 0, let S k (G)=∑ i= 1 k μ i, be the sum of k largest Laplacian eigenvalues of G …

Several approaches for ordering graphs by spectral parameters are presented in the
literature. We can find graph orderings either by the greatest eigenvalue (spectral radius or …

On Laplacian Energy Page 1 On Laplacian Energy Kinkar Ch. Das1, Ivan Gutman2,3, A. Sinan
Cevik4, Bo Zhou5 1Department of Mathematics, Sungkyunkwan University, Suwon 440-746 …

Let G be a simple graph with order n and size m and having Laplacian eigenvalues μ 1, μ
2,…, μ n− 1, μ n= 0 and let S k (G)=∑ i= 1 k μ i be the sum of k largest Laplacian …

ENERGIES OF GRAPHS SURVEY, CENSUS, BIBLIOGRAPHY Ivan Gutman & Boris Furtula
Page 1 ENERGIES OF GRAPHS SURVEY, CENSUS, BIBLIOGRAPHY Ivan Gutman & Boris …