For a graph G and a real number a, the graph invariant s? (G) is the sum of the ath powers of the signless Laplacian eigenvalues and ?? (G) is the sum of the ath powers of the Laplacian eigenvalues of G. In this study, for appropriate vales of alpha, we give some bounds for the generalized versions of incidence energy and of the Laplacian-energy-like invariant of graphs. © 2018 University of Kragujevac, Faculty of Science. All rights reserved.Selçuk Ã?niversitesi British Association for Psychopharmacology, BAP*Corresponding author †The author are partially supported by TUBIATKand the Scientific Research Project Office (BAP) of Selçuk University
AbstractFor a graph G and a real number α≠0, the graph invariant sα(G) is the sum of the αth power o...
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
AbstractLet G be a simple graph of order n, and let μ1≥μ2≥⋯≥μn=0 be the Laplacian spectrum of G. The...
WOS: 000446649000015For a graph G and a real number alpha, the graph invariant s(alpha)(G) is the su...
For a simple connected graph G with n -vertices having Laplacian eigenvalues μ 1 , μ 2 , … ...
Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are th...
summary:For a bipartite graph $G$ and a non-zero real $\alpha $, we give bounds for the sum of the...
Abstract For a simple graph G of order n, let μ 1 ≥ μ 2 ≥ ⋯ ≥ μ n = 0 $\mu_{1}\geq\mu_{2}\geq\cdots\...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
Abstract The energy of a graph G is defined as the sum of the singular values of its adjacency matri...
AbstractThe Laplacian-energy like invariant LEL(G) and the incidence energy IE(G) of a graph are rec...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
Let $G$ be a simple graph with order $n$ and size $m$. The quantity $M_1(G)=\displaystyle\sum_{i=1}^...
Abstract. Suppose µ1, µ2,..., µn are Laplacian eigenvalues of a graph G. The Laplacian energy of G i...
Let G be a simple graph. The incidence energy (IE for short) of G is defined as the sum of the singu...
AbstractFor a graph G and a real number α≠0, the graph invariant sα(G) is the sum of the αth power o...
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
AbstractLet G be a simple graph of order n, and let μ1≥μ2≥⋯≥μn=0 be the Laplacian spectrum of G. The...
WOS: 000446649000015For a graph G and a real number alpha, the graph invariant s(alpha)(G) is the su...
For a simple connected graph G with n -vertices having Laplacian eigenvalues μ 1 , μ 2 , … ...
Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are th...
summary:For a bipartite graph $G$ and a non-zero real $\alpha $, we give bounds for the sum of the...
Abstract For a simple graph G of order n, let μ 1 ≥ μ 2 ≥ ⋯ ≥ μ n = 0 $\mu_{1}\geq\mu_{2}\geq\cdots\...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
Abstract The energy of a graph G is defined as the sum of the singular values of its adjacency matri...
AbstractThe Laplacian-energy like invariant LEL(G) and the incidence energy IE(G) of a graph are rec...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
Let $G$ be a simple graph with order $n$ and size $m$. The quantity $M_1(G)=\displaystyle\sum_{i=1}^...
Abstract. Suppose µ1, µ2,..., µn are Laplacian eigenvalues of a graph G. The Laplacian energy of G i...
Let G be a simple graph. The incidence energy (IE for short) of G is defined as the sum of the singu...
AbstractFor a graph G and a real number α≠0, the graph invariant sα(G) is the sum of the αth power o...
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
AbstractLet G be a simple graph of order n, and let μ1≥μ2≥⋯≥μn=0 be the Laplacian spectrum of G. The...