On the distance spectral radius of trees

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Web16 de dez. de 2024 · The eccentricity matrix . ϵ (G) of a connected graph G is obtained from the distance matrix of G by retaining the largest distance in each row and each column and setting the remaining entries as 0. The eccentricity matrices of graphs are closely related to the distance matrices of graphs, nevertheless a number of properties of eccentricity … WebThe 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 …

On the Distance and Distance Signless Laplacian Spectral Radii …

Web7 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, … Web6 de nov. de 2014 · Let T be a tree with n vertices and let A(T) be the adjacency matrix of T. Spectral radius of T is the largest eigenvalue of A(T). Wu et al. [Wu, B.F., Yuan, X.Y., and Xiao, E.L. On the spectral radii of trees, Journal of East China Normal University (Natural Science), 3: 22–28 (2004)] determined the first seven trees of order n with the smallest … ready or not best ar

The spectral radius of trees on k pendant vertices - ScienceDirect

Webtance spectral radius. As a corollary, we determine the unique tree with the second maximal distance spectral radius. We conclude the paper by posing a conjecture on the structure of the extremal tree that minimizes the distance spectral radius. 2. The star Sn has minimum distance spectral radius. The distance ma-trix of Sn has the form DS n = Web1 de abr. de 2024 · Download Citation On Apr 1, 2024, Kang Liu and others published Distance spectral radius of the complements of trees with fixed parameters Find, … how to take care of grapefruit tree

On distance spectral radius of trees with fixed maximum degree

On graft transformations decreasing distance spectral radius …

Web14 de abr. de 2024 · Lastly, we measured two site-specific habitat covariates that could help to explain frog occupancy: (1) percent (%) of tree canopy within a 200-m radius of each … Web23 de jan. de 2024 · The generalized distance spectral radius of a connected graph is the spectral radius of the generalized distance matrix of , defined by where and denote the distance matrix and diagonal matrix of the vertex transmissions of , respectively. This paper characterizes the unique graph with minimum generalized distance spectral radius … how to take care of grass in fallWeb1 de abr. de 2024 · Download Citation On Apr 1, 2024, Kang Liu and others published Distance spectral radius of the complements of trees with fixed parameters Find, read and cite all the research you need on ... ready or not banned

"WebHá 5 horas · Using NASA's Transiting Exoplanet Survey Satellite (TESS), a team of astronomers from Harvard-Smithsonian Center for Astrophysics (CfA) in Cambridge, … " - On the distance spectral radius of trees

On the distance spectral radius of trees

A note on distance spectral radius of trees - CORE

Web10 de abr. de 2024 · Let . ρ (S α (G)) be the spectral radius of . S α (G). This paper presents results on S α ( G ) with emphasis on ρ ( S α ( G ) ) and some results on S ( G ) are extended to all α in some subintervals of [ 0 , 1 ] . 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} }

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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;在2m个顶点,最大度为定值且不少于「m/2 (])+1的完美匹配树中具有最小距离谱半径的树,这个树是唯一 … WebIndulal in [11] has found sharp bounds on the distance spectral radius and the distance energy of graphs. In [10]Ili´c characterized n-vertex trees with given matching number, which minimize the distance spectral radius. Liu has characterized graphs with minimal distance spectral radius in three

Web14 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 ... WebFor trees and unicyclic graphs, distance energy is equal to the doubled value of the distance spectral radius. In this paper, we introduce a general transformation that …

Web5 de dez. de 2024 · Corpus ID: 254246531; Extremal trees with respect to spectral radius of restrictedly weighted adjacency matrices @inproceedings{Zheng2024ExtremalTW, … 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; …

Web31 de jul. de 2009 · The largest Laplacian spectral radii of trees in $$ \mathcal{T}_{2k + 1} $$ and $$ \mathcal{S}_{2k + 2} $$ and the corresponding trees were given by Guo (2003). ... On distance spectral radius of graphs with given number of pendant paths of fixed length. 19 October 2024.

Web28 de ago. de 2010 · The distance spectral radius of , denoted as , is the largest eigenvalue of the distance matrix . Distance energy is a newly introduced molecular … ready or not beanbag shotgunWebThe 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. how to take care of hamstersWeb9 de dez. de 2024 · Abstract. The distance Laplacian matrix of a connected graph is defined as , where is the distance matrix of and is the diagonal matrix of vertex … ready or not ballistic shield lightWebgiven 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 how to take care of graying hairWeb23 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 … how to take care of hair after bleachingWebgeneralized version of the reverse distance matrix and alsostudy its spectral radius for trees with given degree sequence. We prove that the spectral radius is always … ready or not best graphic settingsWeb万方数据知识服务平台-中外学术论文、中外标准、中外专利、科技成果、政策法规等科技文献的在线服务平台。 how to take care of greasy skin