Results 31 to 40 of about 306 (75)
Spectral Properties of the Harary Signless Laplacian and Harary Incidence Energy
MathematicsLet X be a partitioned matrix and let B its equitable quotient matrix. Consider a simple, undirected, connected graph G of order n. In this paper, we employ a technique based on quotient matrices derived from block-partitioned structures to establish new
Luis Medina +2 more
doaj +1 more source
Inequalities for Distance Signless Laplacian Matrix Under Minimum-Degree Constraints
Journal of MathematicsFor a connected graph G of order n, let DG denote its distance matrix and let TrG be the diagonal matrix formed by the vertex transmissions. The distance signless Laplacian of G is defined by DQ=DG+TrG.
Mohd Abrar Ul Haq, S. Pirzada, Y. Shang
doaj +1 more source
ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP
BarekengA 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 +2 more
doaj +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study investigates the spectral and topological properties of rounded knot networks K2n, a helical extension of phenylene quadrilateral structures, through signless Laplacian spectral analysis. Motivated by the need to understand how helical topology influences network dynamics and robustness, we derive exact analytical expressions for three key ...
Fareeha Hanif +3 more
wiley +1 more source
On the diameter and incidence energy of iterated total graphs
, 2018 The total graph of $G$, $\mathcal T(G)$ is the graph whose set of vertices is the union of the sets of vertices and edges of $G$, where two vertices are adjacent if and only if they stand for either incident or adjacent elements in $G$.
Lenes, Eber +3 more
core +1 more source
International Journal of Quantum Chemistry, Volume 124, Issue 11, June 5, 2024.Molecular structures. Abstract Malaria has a wide impact on the healthcare system, affecting everyone from hyperendemic areas who dearth access to medical treatment to international tourists returning to nonendemic regions with tertiary referral care. Implementing timely and accurate diagnosis is necessary to stop malaria's growing global effect, which
Nadeem ul Hassan Awan +5 more
wiley +1 more source
Laplacian coefficients of unicyclic graphs with the number of leaves and girth
, 2013 Let $G$ be a graph of order $n$ and let $\mathcal{L}(G,\lambda)=\sum_{k=0}^n (-1)^{k}c_{k}(G)\lambda^{n-k}$ be the characteristic polynomial of its Laplacian matrix. Motivated by Ili\'{c} and Ili\'{c}'s conjecture [A. Ili\'{c}, M.
Zhang, Jie, Zhang, Xiao-Dong
core +1 more source
Distance Spectra of Some Double Join Operations of Graphs
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In literature, several types of join operations of two graphs based on subdivision graph, Q‐graph, R‐graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on (H1, H2)‐merged subdivision graph.
B. J. Manjunatha +4 more
wiley +1 more source
Survey of Graph Energies [PDF]
, 2017 The graph energy is a graph–spectrum–based quantity, introduced in the 1970s. After a latent period of 20–30 years, it became a popular topic of research both in mathematical chemistry and in “pure” spectral graph theory, resulting in over 600 published
Furtula, Boris, Gutman, Ivan
core +1 more source
On energy of prime ideal graph of a commutative ring associated with transmission-based matrices [PDF]
This research explores the energy of the prime ideal graph of a commutative ring. The study demonstrates the energy formula of the graph associated with transmission-based matrices.
Al-Sharqi, Faisal +4 more
core +1 more source