site stats

On the distance spectral radius of trees

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 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. 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 …

Distance spectral radius of a tree with given diameter - ResearchGate

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 … 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 = dewsbury road runners facebook https://joxleydb.com

On graft transformations decreasing distance spectral radius …

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. 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 ... 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). … church spring hill tn

Coxeter groups, Salem numbers and the Hilbert metric

Category:On the distance spectral radius of trees Request PDF

Tags:On the distance spectral radius of trees

On the distance spectral radius of trees

万方数据知识服务平台

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 … 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 ...

On the distance spectral radius of trees

Did you know?

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 … 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 ] .

Web2 de jan. de 2024 · A note on distance spectral radius of trees. Authors. Yanna Wang; Rundan Xing; Bo Zhou; Fengming Dong; Publication date 2024. Publisher Walter de Gruyter GmbH. Doi DOI: 10.1515/spma-2024-0021. Abstract Abstract is not available. journal-article; Similar works. Full text. Crossref Provided original full text link. 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

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 … 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, …

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 …

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 … dewsbury probation serviceWeb15 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 … church spy cell phoneWebspectral radius (the largest eigenvalue of the distance matrix) as a molecular descrip-tor giving rise to the extensive QSPR research and to the studies of mathematical properties of the distance spectral radius (DSR). Recently, the extremal trees with respect to the distance spectral radius have been studied by many researchers [10–13]. dewsbury rams resultsWebLet 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. dewsbury road chemistWeb25 de dez. de 2024 · The extremal results on the distance spectral radius of trees may be found in [12,20] with fixed matching number, in [20,21] with given number of leaves, in … dewsbury rangers football clubWeb15 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 … dewsbury rams squadWebgeneralized 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 … dewsbury road runners club colours