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On the distance signless laplacian of a graph

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. 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

Two Laplacians for the distance matrix of a graph

WebIn this paper, we obtain the distance Laplacian spectrum of power graphs of finite groups such as cyclic groups, dihedral groups, dicyclic groups, … 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 fly bite on scalp https://mission-complete.org

On the Distance and Distance Signless Laplacian Spectral Radii 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. Web15 de dez. de 2013 · The distance (distance signless Laplacian, respectively) spectral radius of G, denoted by ρ D ( G) ( ρ Q ( G), respectively), is the largest distance … 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 … fly bite pictures

Characterizing Graphs with Nullity n-4 - Academia.edu

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On the distance signless laplacian of a graph

On the distance signless Laplacian spectral radius and the distance ...

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. 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 …

On the distance signless laplacian of a graph

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

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 … 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 …

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 … 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 …

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 …

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 … fly bite seizure dogWeb28 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 … fly bites on skinWeb3 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 . fly bites dog earsWebLet G = ( V , E ) be a simple graph. Denote by D ( G ) the diagonal matrix of its vertex degrees and by A ( G ) its adjacency matrix. Then the Laplacian matrix of G is L ( G ) = … fly bites dogWeb14 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 … flybitluxWeb6 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. fly bites picsWeb20 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. fly bite seizures in dogs