On the distance signless laplacian of a graph

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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 … 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) …

On the distance signless Laplacian spectral radius of graphs

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 … 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. theories of organizational communication pdf

On the distance and distance signless Laplacian eigenvalues of graphs …

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. Web6 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. Web25 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 … theories of organizational adaptation

On the distance signless Laplacian spectral radius of graphs

On the Signless Laplacian Spectral Radius of Graphs without …

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 … 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 … theories of organisational developmentWebWe 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 … theories of organizational design

"Web摘要： The distance signless Laplacian spectral radius of a connected graph in terms of the clique number. Furthermore, both extremal graphs are uniquely determined. " - On the distance signless laplacian of a graph

On the distance signless laplacian of a graph

[2108.03895] The signless Laplacian spectral radius of graphs …

WebCharacterizing Graphs with Nullity n-4. × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer. or reset password. Enter the email address you signed up with and we'll email you a reset link. Need an account? Click here to sign up. Log In Sign Up. Log In; Sign Up; more; Job ... 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].

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WebR. Xing and B. Zhou, On the distance and distance signless Laplacian spectral radii of bicyclic graphs, Linear Algebra Appl. 439 (2013) 3955–3963. Crossref, Google Scholar; … 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 …

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. 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 …

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 … 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 …

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

Web9 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 … theories of organizational performanceWeb9 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 , … theories of organizational behavior pptWeb1 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 … theories of organization and managementWeb21 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. theories of organizational developmentWebThe distance Laplacian energy of a graph G is defined as the mean deviation of the values of the distance Laplacian eigenvalues of G: Similarly, the distance signless Laplacian energy can be viewed as the mean deviation of the values of the distance signless Laplacian eigenvalues of G: Recent results on and can be found (see, e.g., [ … theories of organizational schoolWeb28 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 … theories of organization pptWebIn this paper, we obtain the distance Laplacian spectrum of power graphs of finite groups such as cyclic groups, dihedral groups, dicyclic groups, … theories of origin of life ppt