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On the distance spectral radius of trees

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 ) is the diagonal matrix of the node transmissions. In this paper, we extend the concept of energy to the generalized distance matrix and define the generalized distance energy E … Webthe spectral radius of the terminal distance matrix RD(G) of graph G. This index is less studied in the literature, yet its behavior is alike that of DSR(at least, for trees). Therefore, a conjecture similar to Conjecture 1 can be put for TDSR: Conjecture 2. The BFS-tree has the minimum terminal distance spectral radius among all trees with the ...

Distance spectral radius of series-reduced trees with parameters

WebYu, H. Jia, H. Zhang and J. Shu, Some graft transformations and its applications on the distance spectral radius of a graph, Appl. Math. Lett. 25 (2012) 315–319. Crossref , Google Scholar 8. WebHá 5 horas · Using NASA's Transiting Exoplanet Survey Satellite (TESS), a team of astronomers from Harvard-Smithsonian Center for Astrophysics (CfA) in Cambridge, … grand valley drainage district map https://jshefferlaw.com

Distance spectral radius of a tree with given diameter - ResearchGate

Web1 de jan. de 2010 · Distance energy is a newly introduced molecular graph-based analog of the total π-electron energy, and it is defined as the sum of the absolute eigenvalues of the molecular distance matrix. For trees and unicyclic graphs, distance energy is equal to the doubled value of the distance spectral radius. In this paper, we introduce a general … Web30 de out. de 2024 · We determine the unique graph with minimum distance spectral radius among quasi-trees with xed order and the unique graph with maximum distance … Web14 de ago. de 2024 · Nath, M., Paul, S.: On the distance spectral radius of bipartite graphs. Linear Algebra Appl. 436, 1285–1296 (2012) Article MathSciNet Google Scholar Nath, M., Paul, S.: On the distance spectral radius of trees. Linear Multilinear Algebra 61, 847–855 (2013) Article MathSciNet Google Scholar grand valley community college

On distance spectral radius of graphs - ScienceDirect

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On the distance spectral radius of trees

On the distance spectral radius of trees: Linear and …

Webeigenvalue is also equal to the spectral radius of D(G), which is also called the distance spectral radius of G. When G is a tree, the spectral radius is in fact the only positive … Web15 de jan. de 2005 · Of all the trees on n vertices and k pendant vertices, the maximal spectral radius is obtained uniquely at T n,k . Proof. We have to proof that if T ∈ T n,k …

On the distance spectral radius of trees

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Web5 de dez. de 2024 · Corpus ID: 254246531; Extremal trees with respect to spectral radius of restrictedly weighted adjacency matrices @inproceedings{Zheng2024ExtremalTW, title={Extremal trees with respect to spectral radius of restrictedly weighted adjacency matrices}, author={Ruiling Zheng and Xiaxia Guan and Xian-an Jin}, year={2024} } WebThe distance spectral radius ρ(G) of a graph G is the largest eigenvalue of the distance matrix D(G). ... "Distance spectral radius of trees with fixed number of pendent vertices." Linear Algebra and its Applications 439.8 (2013) 2240-2249 MLA; Harvard; CSL-JSON; BibTeX; Internet Archive.

Web6 de ago. de 2012 · In this article, we prove that among trees on n vertices and matching number m, the dumbbell . is the unique tree that maximizes the distance spectral radius, which was conjectured by Aleksandar Ilić [Distance spectral radius of trees with given … WebOn distance spectral radius of trees with fixed maximum degree. 本文我们确定了:在n个顶点,最大度为定值且不少于「n/2 (])的树中具有最小距离谱半径的树,这个树是唯一的; …

Webgiven domination number, respectively. We determine the unique tree with second maximum -spectral radius among trees, and the unique tree with maximum -spectral radius among trees with given diameter. For a graph with two pendant paths at a vertex or at two adjacent ver-tex, we prove results concerning the behavior of the -spectral radius Web23 de set. de 2024 · Spatial radius refers to the radius of the neighborhood for averaging (higher spatial radius results in more smoothing). Spectral range radius refers to the degree of spectral variability, measured by the Euclidean distance (expressed in radiometry units) of the spectral signature that is allowed within an object (higher values …

WebA k-tree is a spanning tree in which every vertex has degree at most k.In this paper, we provide a sufficient condition for the existence of a k-tree in a connected graph with fixed order in terms of the adjacency spectral radius and the signless Laplacian spectral radius, respectively.Also, we give a similar condition for the existence of a perfect matching in a …

WebLet D(G) be the distance matrix of a connected graph G.The distance spectral radius of G is the largest eigenvalue of D(G) and it has been proposed to be a molecular structure descriptor.In this article, we determine the unique trees with minimal and maximal distance spectral radii among trees with fixed bipartition. chinese soup bowl setsWeb7 de jul. de 2015 · Download PDF Abstract: For a tree with the given sequence of vertex degrees the spectral radius of its terminal distance matrix is shown to be bounded from below by the the average row sum of the terminal distance matrix of the, so called, BFS-tree (also known as a greedy tree). This lower bound is typically not tight; nevertheless, … grand valley co op credit unionWeb23 de out. de 2013 · Distance spectral radius of a tree with given diameter. Guanglong Yu, Shuguang Guo, Mingqing Zhai. For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix. In this paper, of all trees with both given order and fixed diameter, the trees with the minimal distance spectral radius are completely ... grand valley conservation authorityWebspectral radius of Coxeter elements. The Coxeter diagram D of (W,S) is the weighted graph whose vertices are the set S, and whose edges of weight m ij join s i to s j when m ij ≥ 3. If D is a tree (such as one of the familiar spherical diagrams A n, B n, D n or E n), then the Coxeter elements w ∈ W range in a single conjugacy class. grand valley electric associationWeb14 de jun. de 2024 · W. Ning, L. Ouyang, M. Lu, Distance spectral radius of trees with fixed number of pendant vertices, Linear Algebra Appl. 439 (2013) 2240-2249. Article MathSciNet Google Scholar A. Niu, D. Fan and G. Wang, On the distance Laplacian spectra of bipartite graphs, Discrete Appl. Math. 186 (2015) 207-213. Article MathSciNet ... chinese soup bowls largeWeb1 de nov. de 2012 · On the distance spectral radius of trees DOI: 10.1080/03081087.2012.711324 Authors: Milan Nath Somnath Paul Tezpur University … grand valley country store and restaurantWebThe distance spectral radius of is the largest absolute value of the eigenvalues of . Thus, the distance spectral radius of , denoted by , is exactly the largest eigenvalue of . The … grand valley dr cantor