On the distance signless laplacian of a graph

Author: pbwm

August undefined, 2024

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 … 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

On Distance Laplacian Energy in Terms of Graph Invariants

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 how many calories are in a ribeye steak

A relation between the Laplacian and signless Laplacian …

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 … 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 … 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 … high quality images at night dslr

On the Signless Laplacian Spectral Radius of Graphs without …

On the distance Laplacian spectra of graphs - ScienceDirect

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 … Web28 de fev. de 2024 · Distance matrices of graphs were introduced by Graham and Pollack in 1971 to study a problem in communications. Since then, there has been extensive research on the distance matrices of graphs -- a 2014 survey by Aouchiche and Hansen on spectra of distance matrices of graphs lists more than 150 references. In the last ten … how many calories are in a salmon filletWeb9 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 , … high quality image website

"Web12 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 … " - On the distance signless laplacian of a graph

On the distance signless laplacian of a graph

On the Distance Signless Laplacian Spectrum of Graphs

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 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) …

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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 … 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 …

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 … 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

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 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 …

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 unit distance graph of $\mathbb{Z}^n\subset\mathbb{R}^n$, a perfect dominating set is understood as having induced components not necessarily trivial.

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; … high quality image of yardstickWebIn 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. high quality image sizeWeb28 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 … high quality images aiWebLet 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 … how many calories are in a saltineWeb7 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 … how many calories are in a protein smoothieWeb25 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 … how many calories are in a potstickerWeb12 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 … high quality images for background