Results 251 to 260 of about 11,443 (267)

Laplacian Energy of a Graph with Self-Loops

Match Communications in Mathematical and in Computer Chemistry, 2023
Summary: The purpose of this paper is to extend the concept of Laplacian energy from simple graph to a graph with self-loops. Let \(G\) be a simple graph of order \(n\), size \(m\) and \(G_S\) is the graph obtained from \(G\) by adding \(\sigma\) self-loops.
Anchan, Deekshitha Vivek, D'Souza, Sabitha, Gowtham, H. J., Bhat, Pradeep G.   +3 more
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Generalization for Laplacian energy

Applied Mathematics-A Journal of Chinese Universities, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Jianping, Liu, Bolian
openaire   +1 more source

On Relation Between Kirchhoff Index, Laplacian-Energy-Like Invariant and Laplacian Energy of Graphs

Bulletin of the Malaysian Mathematical Sciences Society, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Kinkar Ch., Xu, Kexiang
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On distance Laplacian spectrum (energy) of graphs

Discrete Mathematics, Algorithms and Applications, 2020
For a simple connected graph [Formula: see text] of order [Formula: see text] having distance Laplacian eigenvalues [Formula: see text], the distance Laplacian energy [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the Wiener index of [Formula: see text]. We obtain the distance Laplacian spectrum of the joined union
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On the Energy and Spread of the Adjacency, Laplacian and Signless Laplacian Matrices of Graphs

Match Communications in Mathematical and in Computer Chemistry
In this paper, we explore the connection between the energy and spread of the adjacency, Laplacian, and signless Laplacian matrices for graphs. We then introduce new limitations for the energy and spread of these matrices, based on previous research and our findings.
Das, Kinkar Chandra, Ghalavand, Ali, Tavakoli, Mostafa   +2 more
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On the Laplacian coefficients and Laplacian-like energy of bicyclic graphs

Linear and Multilinear Algebra, 2012
Let be the characteristic polynomial of Laplacian matrix of an n-vertex graph G. We present three transforms on graphs that decrease all Laplacian coefficients c k (G), then we characterize the graphs with the minimal Laplacian-like energy, which is the sum of square roots of all roots on φ(G, λ), in the set of all bicyclic graphs with fixed order and ...
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Laplacian and Signless Laplacian Energy of Unitary Cayley Graphs

The Unitary Cayley graph Xn is a graph with vertex set Zn = {0; 1; :::; n - 1} and the edge set {ab/a; b in Zn; gcd(a - b, n) = 1}. In this paper we obtain the eigen values of Laplacian, Signless Laplacian matrix and Laplacian, Signless Laplacian energy of Uni- tary Cayley Graph Xn.
THILAGA C, SARASIJA P B
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On the distance Laplacian energy ordering of a tree

Applied Mathematics and Computation, 2021
Hilal A Ganie
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Bounds on the Reciprocal distance energy and Reciprocal distance Laplacian energies of a graph

Linear and Multilinear Algebra, 2022
Luis Medina, Macarena Trigo
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Asymptotic Laplacian-energy-like invariant of lattices

Applied Mathematics and Computation, 2015
Jia-Bao Liu, Xiang-Feng Pan, Fu-Tao Hu   +2 more
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