On the distance signless laplacian of a graph

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August undefined, 2024

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 … Web10 de abr. de 2024 · Download Citation The generalized adjacency-distance matrix of connected graphs Let G be a connected graph with adjacency matrix A(G) and …

Mathematics Free Full-Text On the Generalized Distance Energy of Graphs

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 WebKeywords. 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]. shark zu561 filters review

On distance Laplacian spectral determination of complete

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 … 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 … shark zu621 replacement filters

On the Distance and Distance Signless Laplacian Spectral Radii of ...

On the distance signless Laplacian Estrada index of graphs

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 Web10 de nov. de 2013 · In this paper, we mainly derive six reduction procedures on the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of … shark zu780 accessoriesWeb7 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 … sharkzone tastatur software

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

On the distance signless laplacian of a graph

Some results on the distance and distance signless Laplacian …

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. Web6 de fev. de 2024 · Let \eta(G) denote the distance signless Laplacian spectral radius of a connected graph G. In this paper,bounds for the distance signless Laplacian spectral …

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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 . 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 ... 查看全部>> 展开

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. 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.

Web28 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 … WebAssume that R is a commutative ring with nonzero identity. The comaximal graph of R, denoted by Γ(R), is a simple graph whose vertex set consists of all elements of R, and …

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 …

Web13 de mai. de 2024 · For a simple graph G on n vertices, the signless Laplacian Estrada index is defined as SLEE (G) = n i=1 e q i , where q 1 , q 2 ,. .. , q n are the eigenvalues … shark zu560 filter replacementWeb9 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 … shark zu60 accessoriesWeb14 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 … population of germany in 1910WebIn 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. shark zombie apocalypseWeb25 de out. de 2016 · On similar lines, the signless Laplacian matrix of a graph is defined as . The signless Laplacian eigenvalues are also real and can be denoted by. The … shark zu561 navigator lift-awayWebThe 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 … shark zu780 rotator lift away duoclean proWeb20 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. shark zu780 rotator lift away duoclean