On the distance signless laplacian of a graph
WebThe generalized distance matrix D α ( G ) of a connected graph G is defined as D α ( G ) = α T r ( G ) + ( 1 − α ) D ( G ) , where 0 ≤ α ≤ 1 , D ( G ) is the distance matrix and T r ( G … WebThe distance signless Laplacian of a connected graph is defined by , where is the distance matrix of , and is the diagonal matrix whose main entries are the vertex transmissions in . The spectrum of is called the distance signless Laplacian spectrum …
On the distance signless laplacian of a graph
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Web17 de dez. de 2024 · Browse Figure Citation Export Abstract Let G be a simple undirected graph containing n vertices. Assume G is connected. Let be the distance matrix, be the distance Laplacian, be the distance signless Laplacian, and be the diagonal matrix of the vertex transmissions, respectively. WebThe distance signless Laplacian spectral radius of a connected graph , denoted by , is the maximal eigenvalue of the distance signless Laplacian matrix of . In this paper, we find …
Web14 de jun. de 2024 · R. Xing, B. Zhou, On the distance and distance signless Laplacian spectral radii of bicyclic graphs, Linear Algebra Appl. 439 (2013) 3955-3963. Article … Web12 de mar. de 2024 · Let G be a simple, connected graph, D(G) be the distance matrix of G, and Tr(G) be the diagonal matrix of vertex transmissions of G.The distance signless …
Web21 de set. de 2024 · of all B2-free graphs and characterize all extremal graphs attaining the maximum signless Laplacian spectral radius. In addition, we also obtain an upper bound of the signless Laplacian spectral radius of all H k-free graphs. Theorem 2. If G is a B2-free graph on n 4 vertices, then q(G) q(Fn,1) with equality if and only if G = Fn,1. Web1 de jul. de 2013 · They used the same formulation as in (3). Using Theorem 3.1, we can derive a relation between the distance Laplacian matrix of a graph of diameter 2 and its …
Web14 de ago. de 2024 · In [ 13 ], the unique graph with minimum and second-minimum distance (resp. distance signless Laplacian) spectral radius among bicyclic graphs is …
Web一个图的Laplacian谱定义为它的Laplacian矩阵的所有特征值的集合.图的Laplacian谱在数学,物理和化学方面都有广泛应用,因此被大量研究.应用图的直积的Laplacian谱以及循环矩阵的谱理论,得到了超立方体图和完全图去掉一个完美匹配的Laplacian谱. polypterus bichir geoffroyWeb7 de ago. de 2015 · The distance signless Laplacian of a connected graph is defined by , where is the distance matrix of , and is the diagonal matrix whose main entries are the … shannon amick weddingWeb6 de fev. de 2024 · In this paper,bounds for the distance signless Laplacian spectral radius of connected graphs are given, and the extremal graph with the minimal distance signless Laplacian spectral radius among the graphs with given vertex connectivity and minimum degree is determined. shannon amos in covington laWebKeywords. distance matrix, distance signless Laplacian, distance Laplacian, normalized distance Laplacian AMS subject classi cations. 05C50, 05C12, 05C31, 15A18 1 Introduction The study of spectral graph theory from a mathematical perspective began in the 1950s and sepa-rately in quantum chemistry in 1931 [14]. shannon amersonWeb10 de nov. de 2013 · In this paper, we mainly derive six reduction procedures on the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of … shannon amickWebIn this paper, we define and investigate the distance signless Laplacian Estrada index of a graph G as D Q EE ( G) = ∑ i = 1 n e ρ i, and obtain some upper and lower bounds for D Q EE ( G) in terms of other graph invariants. We also obtain some relations between D Q EE ( G) and the auxiliary distance signless Laplacian energy of G. shannon amirie md lynchburg vaWeb1 de abr. de 2024 · First, we report on a numerical study in which we looked into the spectra of the distance, distance Laplacian and distance signless Laplacian matrices of all … shannon amoils bhf