Results 101 to 110 of about 1,309,008 (158)

Laplacian spectra and structural insights: applications in chemistry and network science

Frontiers in Applied Mathematics and Statistics
This paper presents the practical applications of Laplacian and signless Laplacian spectra across various fields including theoretical chemistry, computer science, electrical engineering, and complex network analysis.
Ali Raza, Muhammad Mobeen Munir
doaj   +1 more source

Spectral Characterizations of the Aα−-Matrix for Graph Products

International Journal of Mathematics and Mathematical Sciences
For α∈0,1, the matrix Aα−G=αDG+α−1AG defines a Laplacian–type operator associated with a graph G, interpolating between −AG and DG. In this paper, we develop a systematic study of the Aα−-spectrum under several classical graph products. Complete spectral
Zakeiah Alkhamisi, Wafaa Fakieh, Ahmad Alkenani, Hanaa Alashwali   +3 more
doaj   +1 more source

Signless Laplacian energies of non-commuting graphs of finite groups and related results [PDF]

, 2023
The non-commuting graph of a non-abelian group $G$ with center $Z(G)$ is a simple undirected graph whose vertex set is $G\setminus Z(G)$ and two vertices $x, y$ are adjacent if $xy \ne yx$.
Nath, Rajat Kanti, Sharma, Monalisha
core  

On spectrum and energies of enhanced power graphs

Mathematics Open
The enhanced power graph [Formula: see text] of a group G is a simple graph with vertex set G and two distinct vertex are adjacent if and only if they belong to the same cyclic subgroup.
Pankaj Kalita, Prohelika Das
doaj   +1 more source

On the distance signless Laplacian spectral radius and the distance signless Laplacian energy of graphs

, 2018
The distance signless Laplacian spectral radius of a connected graph [Formula: see text] is the largest eigenvalue of the distance signless Laplacian matrix of [Formula: see text], defined as [Formula: see text], where [Formula: see text] is the distance
Abdollah Alhevaz, Somnath Paul, Maryam Baghipur   +2 more
core   +1 more source

Exploring spectrum-based descriptors in pharmacological traits through quantitative structure property (QSPR) analysis

Frontiers in Physics
The study centered on Quantitative Structure Property Relationship (QSPR) analysis with a focus on various graph energies, investigating drugs like Mefloquinone, Sertraline, Niclosamide, Tizoxanide, PHA-690509, Ribavirin, Emricasan, and Sofosbuvir ...
Ali Raza, Muhammad Mobeen Munir
doaj   +1 more source

Developments on Spectral Characterizations of Graphs [PDF]

In [E.R. van Dam and W.H. Haemers, Which graphs are determined by their spectrum?, Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph.
Dam, E.R. van, Haemers, W.H.
core  

Transmission-Based Energies of Prime Coprime Graph for Integers Modulo Group

Science and Technology Indonesia
Graphs are an excellent instrument that provides an algebraic structure for visualizing and interpreting molecule structures and characteristics. As a result, the problem statement arises regarding how we can interpret graphs with eigenvalues concerning
Mamika Ujianita Romdhini, Abdurahim, Andika Ellena Saufika Hakim Maharani, Siti Raudhatul Kamali   +3 more
doaj   +1 more source

Dissecting molecular network structures using a network subgraph approach. [PDF]

PeerJ, 2020
Huang CH, Zaenudin E, Tsai JJP, Kurubanjerdjit N, Dessie EY, Ng KL.   +5 more
europepmc   +1 more source

On adjacency and (signless) Laplacian spectra of centralizer and co-centralizer graphs of some finite non-abelian groups

Electronic Journal of Graph Theory and Applications
Let G be a finite non-abelian group. The centralizer graph of G is a simple undirected graph Γcent(G), whose vertices are the proper centralizers of G and two vertices are adjacent if and only if their cardinalities are identical.
Jharna Kalita, Somnath Paul
doaj   +1 more source