On the distance signless laplacian of a graph

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August undefined, 2024

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. WebDistance Laplacian Graphs of diameter 2 Let G be a graph of diameter D = 2, ( 1; 2;:::; n = 0 ) its L -spectrum and (@1;@2;:::;@n = 0 ) its DL spectrum. ... Distance signless Laplacian Bipartite components For the signless Laplacian : 0 is a Q eigenvalue of G if and only if G contains a bipartite component

On the distance and distance signless Laplacian eigenvalues of …

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 … WebIn 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. bitzer motortypen

On the Laplacian, signless Laplacian and normalized Laplacian ...

Web11 de abr. de 2024 · Feng LH, Yu GH (2009) On three conjectures involving the signless Laplacian spectral radius of graphs. Publ. Inst. Math. (Beograd) 85(99):35–38. Article … 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. Webdistance signless Laplacian spectrum (matrix) transmission regular graph generalized distance matrix generalized distance spectral spread AMS Subject Classifications: Primary: 05C50 05C12 Secondary: 15A18 Acknowledgments bitzer quick ship

Distance Laplacian spectral ordering of sun type graphs

On distance Laplacian spectral determination of complete

WebLet G be a connected non-bipartite graph on n vertices with domination number @c@?n+13. We present a lower bound for the least eigenvalue of the signless … Web12 de mar. de 2024 · In [4], the same authors proved that the star is the unique tree with minimum distance Laplacian spectral radius. In [1], Alhevaz et al. gave some upper and … bitzer product authenticatorWeb9 de mar. de 2024 · Abstract. Let G be a simple, connected graph of order n. Its distance Laplacian energy D L E ( G ) is given by D L E ( G ) = ∑ i = 1 n ρ i L − 2 W ( G ) n , … datediff between two dates excel

"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 … " - On the distance signless laplacian of a graph

On the distance signless laplacian of a graph

Bounds for the Generalized Distance Eigenvalues of a Graph - MDPI

Web21 de fev. de 2024 · Also, upper bounds for the modulus of all distance (respectively, distance signless Laplacian) eigenvalues other than the distance (respectively, … 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 …

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Web15 de abr. de 2015 · The distance Laplacian matrix L (G) of a graph G is defined to be L (G) = diag (Tr) − D (G), where D (G) denotes the distance matrix of G and diag (Tr) … Web11 de abr. de 2024 · Feng LH, Yu GH (2009) On three conjectures involving the signless Laplacian spectral radius of graphs. Publ. Inst. Math. (Beograd) 85(99):35–38. Article MathSciNet MATH Google Scholar Ganie HA, Pirzada S (2024) On the bounds for the signless Laplacian energy of a graph. Discret Appl Math 228(10):3–13

Web3 de abr. de 2024 · The distance signless Laplacian matrix of graph is defined as , where is the diagonal matrix of the vertex transmissions in . The largest eigenvalue of is called the distance signless Laplacian spectral radius of , written as . And a perfect matching in a graph is a set of disadjacent edges covering every vertex of . WebWe characterize the connected bipartite graph and the connected graphs with given independence number that attains the minimum value for U k ( G). We also obtain some bounds for the graph invariants U k ( G) − L k ( G) and U k ( G) L k ( G). Keywords: Generalized distance matrix distance (signless Laplacian) matrix transmission regular …

Web7 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 … Web1 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 the connected graphs on up to 10 vertices.

WebThe distance matrix was defined by Graham and Pollak in 1971 in order to study the problem of loop switching in routing messages through a network. Since then, variants …

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 … datediff carbonWebspectral radius, the distance Laplacian spectral radius and the distance signless Laplacian spectral radius of G, respectively. Recently, remoteness, which is one of the most important distance graph parameters, has attracted much attention of many graph theory researchers. In [6], Sedlar et al. proved (2) bitzer products broadview ilWebOn the distance signless Laplacian spectral radius of graphs. 来自 Taylor & Francis. 喜欢 0. 阅读量：. 17. 作者：. Rundan Xing ， Bo Zhou ， Jianping Li. 收藏引用批量引用报 … datediff case whenWeb6 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. bitzer productionsWeb7 de abr. de 2010 · A relation between the Laplacian and signless Laplacian eigenvalues of a graph. Saieed Akbari, Ebrahim Ghorbani, Jack H. Koolen &. Mohammad Reza … datediff calculated columnWeb21 de fev. de 2024 · In this paper, first, upper and lower bounds for the spectral radius of a nonnegative matrix are constructed. Applying this result, upper and lower bounds for the distance and distance signless Laplacian spectral radius of graphs are given, and the extremal graphs for these bounds are obtained. bitzer oil pressure switchWeb28 de fev. de 2024 · Distance matrices of graphs were introduced by Graham and Pollack in 1971 to study a problem in communications. Since then, there has been extensive research on the distance matrices of graphs -- a 2014 survey by Aouchiche and Hansen on spectra of distance matrices of graphs lists more than 150 references. In the last ten … datediff cast