On the distance spectral radius of trees

Author: wjwl

August undefined, 2024

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 Web1 de fev. de 2024 · Distance spectral radius of trees with fixed maximum degree. D. Stevanović, Aleksandar Ilić. Mathematics. 2010. C ‡ Abstract. Distance energy is a …

The distance spectral radius of trees Semantic Scholar

WebAbstract. The unique graphs with maximum distance spectral radius among trees with given number of vertices of maximum degree and among homeomorphically irreducible … Web1 de set. de 2024 · Since D ( G) is a real symmetric matrix, the distance eigenvalues of G are real. The distance spectral radius of G, denoted by ρ ( G), is the largest distance … harper island realty

Distance spectral radius of the complements of trees

Web5 de dez. de 2024 · Corpus ID: 254246531; Extremal trees with respect to spectral radius of restrictedly weighted adjacency matrices @inproceedings{Zheng2024ExtremalTW, … Web15 de abr. de 2013 · Distance spectral radius of graphs with given domination number In this section, we determine the unique tree of given domination number withminimum … Web9 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 … characteristics of matter grade 1

Distance spectral radius of trees with fixed number of pendent …

Distance spectral radius of trees with fixed maximum degree

Webconsisting of 1 edges and a path of length n at a common vertex maximizes uniquely the distance spectral radius over all trees of order nwith maximum degree 2. In recent ten years, there are lots of papers on the distance spectral radius, and among them, lots of work was devoted to the distance spectral radius of trees. There is a survey of ... Web8 de jul. de 2008 · GUO [Guo, Linear Algebra Appl. 368:379–385, 2003.] determined the largest value of Laplacian spectral radii μ(T) of the trees T in $${\mathcal{T}(2k)}$$ and gave the corresponding tree T in $${\mathcal{T}(2k)}$$ whose ;μ(T) reaches ... On distance spectral radius of graphs with given number of pendant paths of fixed length. 19 ... harper island michiganWebgeneralized 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 … characteristics of matter

"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 ) … " - On the distance spectral radius of trees

On the distance spectral radius of trees

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 ] . Web6 de fev. de 2024 · AbstractWe consider the problem of maximizing the distance spectral radius and a slight generalization thereof among all trees with some prescribed degree …

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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 ... WebPerson as author : Pontier, L. In : Methodology of plant eco-physiology: proceedings of the Montpellier Symposium, p. 77-82, illus. Language : French Year of publication : 1965. book part. METHODOLOGY OF PLANT ECO-PHYSIOLOGY Proceedings of the Montpellier Symposium Edited by F. E. ECKARDT MÉTHODOLOGIE DE L'ÉCO- PHYSIOLOGIE …

Web15 de mai. de 2001 · Abstract In this paper, we investigated the spectral radius of trees and obtained the following result: Let T be a tree on n vertices. Let M (T) denote one … Web13 de jun. de 2013 · 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 …

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 … 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 …

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.

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, read and cite all the research you need on ... harper james and gray on tortsWeb16 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 … characteristics of matter general science iiWeb1 de mar. de 2010 · We determine the unique tree that maximizes (respectively minimizes) the distance spectral radius over all trees on n vertices with k pendant paths of length … harper island waWeb31 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. harper island onlineWeb14 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 … characteristics of matter grade 3Web14 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 point (this radius is based on movement distances reported by Johnson et al. 2007), and (2) distance (m) to nearest standing body of water or wetland. characteristics of matter waves harper issacs actor