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 … 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

On distance spectral radius of trees with fixed maximum degree

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 … WebProof. Let T be a tree in T nwith minimal distance spectral radius. We only need to show that T ˙S;. The case = n 1 is trivial as Tn 1 n= fS g. Suppose that n 2. Then q(T) 2. By Lemma 2.3, q(T) = 2, and then T ˙S n;. Stevanovi´c and Ili ´c [4] conjectured that a complete -ary tree has the minimum distance spectral radius among trees T n. birmingham south rv campground

A note on distance spectral radius of trees - CORE

WebHá 5 horas · Using NASA's Transiting Exoplanet Survey Satellite (TESS), a team of astronomers from Harvard-Smithsonian Center for Astrophysics (CfA) in Cambridge, … 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 … 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 danger shayumthetho mp3 download

Coxeter groups, Salem numbers and the Hilbert metric

On distance spectral radius of trees with fixed maximum degree

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). … 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 … danger she wrote twitterWebThe 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. dangers from removing ceramic tiles

"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 … " - On the distance spectral radius of trees

On the distance spectral radius of trees

Distance spectral radius of the complements of trees with fixed ...

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 Web1 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 …

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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 … 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 ...

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. 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 ...

Web21 de nov. de 2024 · Accepted: 27 May 2024. Abstract. The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. In this paper, we give several less restricted graft transformations that decrease the distance spectral radius, and determine the unique graph with minimum distance spectral radius among home … 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 …

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 …

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 … danger shayumthetho sisezopopa mp3 downloadWebFor 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 … birmingham south rv park pelham alWebPerson 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 … birmingham south rv park pelhamWeb1 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 … dangers give relish to adventureWeb7 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, … birmingham spaghetti junction birmingham spa hotel dealsWeb23 de out. de 2013 · 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 … birmingham south rv resort