On the distance signless laplacian of a graph

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August undefined, 2024

WebLet 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 ) = … 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 …

Remoteness and distance, distance (signless) Laplacian …

WebOn the distance signless Laplacian spectral radius of graphs. 来自 Taylor & Francis. 喜欢 0. 阅读量：. 17. 作者：. Rundan Xing ， Bo Zhou ， Jianping Li. 收藏引用批量引用报 … 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 … buying twitter

On the Distance Signless Laplacian Spectrum of Graphs

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

Two Laplacians for the distance matrix of a graph

Distance Laplacian spectral ordering of sun type graphs

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 … WebThe distance matrix was defined by Graham and Pollak in 1971 in order to study the problem of loop switching in routing messages through a network. Since then, variants … central hair radford vaWebIn 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. central hackescher markt

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

On the distance signless laplacian 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, … 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 …

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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 Web14 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 …

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 … 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) …

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 … 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 …

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 … buying twitter botsWebLet 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 … central hall 2 w tollcross edinburgh eh3 9bpWebKeywords. 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]. central hair studio valley city ndWeb6 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. central hall commons dover foxcroft maineWebWe 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 … buying twitter followersWeb11 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 central hall door hogwartsWebThe 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 unit distance graph of $\mathbb{Z}^n\subset\mathbb{R}^n$, a perfect dominating set is understood as having induced components not necessarily trivial. buying twitter retweets