On the distance signless laplacian of a graph

Author: lboe

August undefined, 2024

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 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 …

On Distance Laplacian Energy in Terms of Graph Invariants

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

On the distance signless Laplacian spectral radius of graphs

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 … 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 WebThe 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., [ … how is machine learning used in business

On Zagreb index, signless Laplacian eigenvalues and signless …

On the distance and distance signless Laplacian eigenvalues of …

Web15 de mai. 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. Then, we prove some theoretical results about what we can deduce about a graph from these spectra. Web9 de mar. de 2024 · We order the partial sun graphs by using their second largest distance Laplacian eigenvalue. Moreover, the distance Laplacian energy of sun and partial sun graphs have been derived in this paper. These graphs are also ordered by using their distance Laplacian energies. References highlands church cummings gaWebThe 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 … how is machine learning used in robotics

"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

On the distance signless laplacian of a graph

Proof for four conjectures about the distance Laplacian and …

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. Web2 de jan. de 2024 · A graph G which does not share its distance signless Laplacian spectrum with any other non-isomorphic graphs is said to be determined by its distance …

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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 … 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 ...

Webdistance signless Laplacian spectrum (matrix) transmission regular graph generalized distance matrix generalized distance spectral spread AMS Subject Classifications: Primary: 05C50 05C12 Secondary: 15A18 Acknowledgments 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 .

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 … WebIn this paper, we obtain the distance Laplacian spectrum of power graphs of finite groups such as cyclic groups, dihedral groups, dicyclic groups, …

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 …

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]. how is machine vibration measuredWeb15 de jan. de 2024 · Let ρ(D(G)) denote the distance spectral radius of a graph G and ∂ (G →) denote the distance signless Laplacian spectral radius of a digraph G →.Let G n, k … how is machine learning used todayWeb28 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 … how is machine learning used in hospitalsWeb12 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 … how is machine learning used in data scienceWebWe 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 … how is machine learning being used todayWeb6 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. how is machine learning used in financeWeb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. how is machine learning used in healthcare