Results 81 to 90 of about 11,404 (180)

On the neighbourhood degree sum-based Laplacian energy of graphs

Kuwait Journal of Science
A useful extension of the Laplacian matrix is proposed here and the corresponding modification of the Laplacian energy (LE) is presented. The neighbourhood degree sum-based Laplacian energy (LNE) is produced by means of the eigenvalues of the newly ...
doaj   +1 more source

On the spectrum, energy and Laplacian energy of graphs with self-loops. [PDF]

Heliyon, 2023
Preetha P U, Suresh M, Bonyah E.
europepmc   +1 more source

Bounds for the signless laplacian energy [PDF]

The energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacency matrix of G. The Laplacian (respectively, the signless Laplacian) energy of G is the sum of the absolute values of the differences between the eigenvalues of ...
Gutman, I., Robbiano, M., Cardoso, Domingos M., Abreu, N., Martins, E. A.   +4 more
core  

The Laplacian spectrum of weighted composite networks and the applications

AIP Advances
The topological properties of the networks can be described by the Laplacian spectra, but resolving the Laplacian spectra of networks poses difficulties. In this study, a novel approach for solving the Laplacian spectrum of weighted composite networks is
Jian Zhu, Da Huang, Haiping Gao, Xianyong Li   +3 more
doaj   +1 more source

Energy, Laplacian Energy and Zagreb Index of Line Graph, Middle Graph and Total Graph [PDF]

, 2010
The energy of a graph G is defined as the sum of the singular values of its adjacency matrix and the Laplacian energy of G is defined as the sum of the distance between Laplacian eigenvalues and average degree of G.
Zhongzhu Liu
core  

Image Fusion Algorithm of Focal Region Detection and TAM-SCM Based on SHT Domain

Xibei Gongye Daxue Xuebao, 2019
The selection of texture information and block ringing effect in multi-focus fusion process, a new multi-focus image fusion algorithm based on Three Activity Measures (TAM) excitation Spiking Cortical Model, (SCM) in shearlet (SHT) domain is proposed ...

doaj   +1 more source

On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

Journal of New Theory, 2018
We introduce the concept of Path Laplacian Matrix for a graph and explore the eigenvalues of this matrix. The eigenvalues of this matrix are called the path Laplacian eigenvalues of the graph.
Shridhar Chandrakant Patekar, Maruti Mukinda Shikare   +1 more
doaj  

ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP

Barekeng
A graph is a mathematical structure consisting of a non-empty set of vertices and a set of edges connecting these vertices. In recent years, extensive research on graphs has been conducted, with one of the intriguing topics being the representation of ...
Gusti Yogananda Karang, I Gede Adhitya Wisnu Wardhana, Manimaran Angamuthu   +2 more
doaj   +1 more source

Generalized Characteristic Polynomials of Join Graphs and Their Applications

Discrete Dynamics in Nature and Society, 2017
The Kirchhoff index of G is the sum of resistance distances between all pairs of vertices of G in electrical networks. LEL(G) is the Laplacian-Energy-Like Invariant of G in chemistry.
Pengli Lu, Ke Gao, Yang Yang
doaj   +1 more source

Laplacian energy of directed graphs and minimizing maximum outdegree algorithms [PDF]

, 2010
Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」Energy has been studied in mathematical perspective as well as physical perspective for several years ago.
Mizoguchi, Yoshihiro, 溝口, 佳寛, Perera, Kissani   +2 more
core