On the distance signless laplacian of a graph
Web20 de mar. de 2024 · We obtain a relationship between the Laplacian energy and the distance Laplacian energy for graphs with diameter 2. We obtain lower bounds for the distance Laplacian energy DLE ( G) in terms of the order n, the Wiener index W ( G ), the independence number, the vertex connectivity number and other given parameters. Web7 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 …
On the distance signless laplacian of a graph
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Web1 de nov. de 2014 · The distance Laplacian matrix of a connected graph G is defined in [2], [3] and it is proved that for a graph G on n vertices, if the complement of G is … WebWe study the distance Laplacian energy of connected graphs with given chromatic number χ. We show that among all connected graphs with chromatic number χ the complete χ -partite graph has the minimum distance Laplacian energy. Further, we discuss the distribution of distance Laplacian eigenvalues around average transmission degree …
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 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.
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 … Web28 de out. de 2024 · Recent work on distance Laplacian matrix can be seen in [13,14]. For more work done on distance signless Laplacian matrix of a graph G, we refer the …
WebThe distance signless Laplacian spectral radius of a connected graph G is the largest eigenvalue of the distance signless Laplacian matrix of G, defined as DQ(G) ... In the …
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 … pop leave a copy on the serverWeb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. pop lawn mower toyWeb28 de out. de 2024 · The matrix \cal {Q} (G)=\cal {T}+\cal {D} is called the distance signless Laplacian of G. In this paper, we provide the distance signless Laplacian spectrum of … share tmux sessionWebspectral 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) share to a groupWebThe 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 … share to another deviceWeb22 de jul. de 2024 · On spectral spread of generalized distance matrix of a graph Hilal A. Ganie, S. Pirzada, A. Alhevaz, M. Baghipur For a simple connected graph , let , , and , respectively be the distance matrix, the diagonal matrix of the vertex transmissions, distance Laplacian matrix and the distance signless Laplacian matrix of a graph . share to active panelWeb9 de ago. de 2024 · The signless Laplacian spectral radius of graphs without intersecting odd cycles. Ming-Zhu Chen, A-Ming Liu, Xiao-Dong Zhang. Let be a graph consisting of … share to a feed