On the distance spectral radius of trees
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. Web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。
On the distance spectral radius of trees
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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 … 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 ...
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 = 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 …
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, … 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.
WebAbstract. The unique graphs with maximum distance spectral radius among trees with given number of vertices of maximum degree and among homeomorphically irreducible …
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 … rehm chiropracticWeb1 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 … procharger p-1sc-1 supercharger kitsWeb23 de out. de 2013 · Distance spectral radius of a tree with given diameter. Guanglong Yu, Shuguang Guo, Mingqing Zhai. 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 fixed diameter, the trees with the minimal distance spectral radius are completely ... rehm broadcasterWeb5 de dez. de 2024 · Corpus ID: 254246531; Extremal trees with respect to spectral radius of restrictedly weighted adjacency matrices @inproceedings{Zheng2024ExtremalTW, … procharger p600b reviewsWeb7 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, … reh med actioWeb15 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 … reh meaning in geographyWeb10 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 ) … rehm chiropator