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The distance spectral radius of trees

WebAuthor pages are created from data sourced from our academic… show more WebJan 13, 2024 · Then, we determine an upper bound on the distance spectral radius of a graph G to ensure that G has a fractional perfect matching. Furthermore, we construct some extremal graphs to show all the bounds are best possible. ... Ilić, A., ‘ Distance spectral radius of trees with given matching number ’, ...

On extremal trees with respect to their terminal distance …

WebFeb 17, 2024 · A diametral path in a connected graph is a shortest path connecting vertices such that the distance between them is the diameter. Let T be a tree with root v_0. For v\in V (T), we call d_T (v_0, v) the height of v in T, denoted by h_T (v). We also say v … Web17 rows · Aug 28, 2010 · We proved that A (n, m) is the unique graph that minimizes distance spectral radius among ... star city health unit https://melhorcodigo.com

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WebJan 1, 2010 · 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 transformation that … WebAbstract. The unique graphs with maximum distance spectral radius among trees with given number of vertices of maximum degree and among homeomorphically irreducible trees, respectively, are determined. WebOct 30, 2024 · A quasi-tree is a graph for which the deletion of some vertex results in a tree. We determine the unique graph with minimum distance spectral radius among quasi … pe teacher in glee

The Distance Laplacian Spectral Radius of Clique Trees - Hindawi

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The distance spectral radius of trees

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WebMay 31, 2024 · Forest managers and nature conservationists rely on precise mapping of single trees from remote sensing data for efficient estimation of forest attributes In recent years, additional quantification of dead wood in particular has garnered interest However, tree-level approaches utilizing segmented single trees are still limited in accuracy and … 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 research on spectral radius of graphs with fixed parameters is an important part of spectral graph theory. Trees are naturally the first object of study.

The distance spectral radius of trees

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WebRecently, the extremal trees with respect to the distance spectral radius have been studied by many researchers [10–13]. In this paper we will characterize the extremal trees on kpendant vertices with respect to their terminal distance spectral radius. Then the minimum and maximum of the terminal distance spectra radius of trees with a fixed ... WebApr 7, 2024 · Thus, the actual distance corresponding to each pixel is 0.139 m, and the actual radius of the sampling circle is about 0.554 m. The points’ spot selection is very important in forming the dataset. If the collected areas are mostly the central area of trees, shadows, and ground, the difference between them can be ignored.

WebOct 23, 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 fixed diameter, the trees with the minimal distance spectral radius are completely characterized. WebDistance: 165,000 ly (50,600 pc) ... Absolute bolometric magnitude (M bol)-12.0: Details; Mass: 226 M ☉ Radius: ... It was found to have an apparent magnitude of 13.5 and a spectral type of WN-5. The following year, 13 new Wolf Rayet stars in the LMC were reported, one of which was Mel J. It was numbered 12, referred to as AB 12, or LMC AB 12 ...

WebThe distance Laplacian matrix of a connected graph G is defined as L(G)=Tr(G)−D(G), where Tr(G) is the diagonal matrix of the vertex transmissions in G and D(G) is the distance matrix of G. The la... WebAug 1, 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 of @r (G) as a …

Weband conjecture the structure of a tree which minimizes the distance spectral radius. As a first step towards this conjecture, we characterize the starlike trees with the minimum distance spectral radius. Key words. Distance matrix, Distance spectral radius, Broom graph, Maximum degree. AMS subject classifications. 05C05, 05C12. 1. Introduction.

WebSep 2, 2024 · 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... pe teacher job advertisementWebWe determine the unique trees with minimum distance spectral radius in the class of all trees on n vertices with a fixed maximum degree bounded below by dn 2 e, and in the … pe teacher job advertsWebAug 1, 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 of @r (G) as a molecular structure descriptor of alkanes. star city home repairWebDec 5, 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} } star city heating lincoln neWebMay 15, 2001 · 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 maximum matching of … pe teacher interviewWebJun 13, 2013 · Recently, many researches proposed the use of @r(G) as a molecular structure descriptor of alkanes. In this paper, we introduce general transformations that … pe teacher job advertWebDec 25, 2024 · We determine the structure of trees that maximize the distance spectral radius among trees with given order and number of segments, and among trees with … star city homes for sale