On the distance spectral radius of trees

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August undefined, 2024

Web6 de ago. de 2012 · In this article, we prove that among trees on n vertices and matching number m, the dumbbell . is the unique tree that maximizes the distance spectral radius, which was conjectured by Aleksandar Ilić [Distance spectral radius of trees with given … 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 …

The Distance Laplacian Spectral Radius of Clique Trees - Hindawi

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 … Web1 de ago. de 2010 · The distance spectral radius @r (G) of a graph G is the largest eigenvalue of the distance matrix D (G). Recently, many researches proposed the use … birth photographer near me

Ordering trees by their spectral radii SpringerLink

Web25 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 … 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. 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 birthphotographers.com

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

On 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 ... 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 … darcey \\u0026 stacey blow up in bodrumWeb23 de set. de 2024 · Spatial radius refers to the radius of the neighborhood for averaging (higher spatial radius results in more smoothing). Spectral range radius refers to the degree of spectral variability, measured by the Euclidean distance (expressed in radiometry units) of the spectral signature that is allowed within an object (higher values … darcey \u0026 stacey blow up in bodrum

"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 … " - On the distance spectral radius of trees

On the distance spectral radius of trees

Distance spectral radius of trees with fixed number of pendent …

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, …

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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 … 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 …

Web1 de nov. de 2012 · On the distance spectral radius of trees DOI: 10.1080/03081087.2012.711324 Authors: Milan Nath Somnath Paul Tezpur University … 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 …

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 ... Web23 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 ...

Webgeneralized 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 …

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。 darcey thornton mdWeb2 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. darcey thornton mercy healthWeb1 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 … birth photographer pricingWebspectral radius of Coxeter elements. The Coxeter diagram D of (W,S) is the weighted graph whose vertices are the set S, and whose edges of weight m ij join s i to s j when m ij ≥ 3. If D is a tree (such as one of the familiar spherical diagrams A n, B n, D n or E n), then the Coxeter elements w ∈ W range in a single conjugacy class. darcey veitchWeb10 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 ] . darcey silva instagram 90 day fianceWeb15 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 … darcey watsonWebAbstract. The unique graphs with maximum distance spectral radius among trees with given number of vertices of maximum degree and among homeomorphically irreducible … darcey weight