On the distance spectral radius of trees

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August undefined, 2024

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} } 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 …

The distance spectral radius of trees Semantic Scholar

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

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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 ] . 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 … 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 = high altitude dance academy

Figure 2 from Extremal trees with respect to spectral radius of ...

Distance spectral radius of a tree with given diameter

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. 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 ... how far is great yarmouthWebgiven 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 high altitude derate

"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. " - On the distance spectral radius of trees

On the distance spectral radius of 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 … 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 …

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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 … 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.

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 … 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 …

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

Web20 de abr. de 2016 · Ordering trees by their distance spectral radii. Wang and Zhou and Du et al. have considered to order the trees by their distance spectral radii, and …

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 ... high altitude depressionWebthe 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 ... high altitude deratingWebAbstract. The unique graphs with maximum distance spectral radius among trees with given number of vertices of maximum degree and among homeomorphically irreducible … how far is greece from australiaWeb14 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 ... high altitude designWebIndulal 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 high altitude cupcakes from scratchWeb13 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 … how far is greece from indiaWeb31 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. high altitude dental