On the distance signless laplacian of a graph
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 … 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.
On the distance signless laplacian of a graph
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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 … 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 …
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 … 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 …
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 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., [ …
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 …
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; … eagan swim schoolWebThe 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 … csh editingWeb9 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 , … csh editorWeb28 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 … eagan theater companyWeb15 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) … csh educational foundationWeb17 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. c shed fremantle portWeb9 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 eagan tco ct