On the adjacency spectra of hypertrees

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August undefined, 2024

Web4 de nov. de 2024 · We then use this to provide a spectral characterization for power hypertrees. Notably, the situation is quite different from that of ordinary trees, i.e., $2$-uniform ... On the Adjacency Spectra of Hypertrees @article{Clark2024OnTA, title={On the Adjacency Spectra of Hypertrees}, author={Gregory J. Clark and Joshua N. … Web15 de jul. de 2024 · We apply this notion to the "adjacency hypermatrix" of a uniform hypergraph, and prove a number of natural analogues of basic results in Spectral Graph Theory. Open problems abound, and we present ...

On the adjacency spectra of hypertrees

Web29 de mar. de 2024 · DOI: 10.37236/10942 Corpus ID: 247778820; Spectra of Weighted Uniform Hypertrees @article{Wan2024SpectraOW, title={Spectra of Weighted Uniform … Web4 de nov. de 2024 · On the Adjacency Spectra of Hypertrees. Electron. J. Comb. We show that $\lambda$ is an eigenvalue of a $k$-uniform hypertree $ (k \geq 3)$ if and only … crystal\\u0027s 1f

On the Adjacency Spectra of Hypertrees - Semantic Scholar

WebWe then use this to provide a spectral characterization for power hypertrees. Notably, the situation is quite different from that of ordinary trees, i.e., $2$-uniform trees. We conclude by presenting an example (an $11$ vertex, ... On the Adjacency Spectra of Hypertrees ... Webof points i, j an adjacency aij 2 f0;1g is attached (see Section 3 for details). The value aij = 1 implies the existence of undirected edge i » j in the graph G spanned over the set of vertices X. Let A = [aij] be the adjacency matrix. Let di = P j aij denote the degree of node i and let D be the diagonal matrix with di’s on its diagonal. WebOn the spectra of hypertrees. Francesc Comellas. 2008, Linear Algebra and Its Applications ... dynamic graphics inc

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Web20 de mai. de 2015 · In 2005, Qi and Lim independently introduced the concept of tensor eigenvalues and the spectra of tensors.In 2008, Lim proposed the study of the spectra of hypergraphs via the spectra of tensors.In 2012, Cooper and Dutle defined the eigenvalues (and the spectrum) of a uniform hypergraph as the eigenvalues (and the spectrum) of the … WebIn this paper, using the theory of matching polynomial of hypertrees introduced in [10], we determine the largest spectral radius of hypertrees with medges and given size of … dynamic graphics hamiltonWeb3 de jul. de 2024 · We study matching polynomials of uniform hypergraph and spectral radii of uniform supertrees. By comparing the matching polynomials of supertrees, we … dynamic graphics 和 discrete graphics

"WebIn this paper we study the spectral properties of a family of trees characterized by two main features: they are spanning subgraphs of the hypercube, and their vertices bear a high degree of (connectedness) hierarchy. Such structures are here called binary hypertrees and they can be recursively defined as the so-called hierarchical product of several … " - On the adjacency spectra of hypertrees

On the adjacency spectra of hypertrees

The extremal spectral radii of -uniform supertrees - Springer

Webdius among k-uniform hypertrees, among k-uniform unicyclic hypergraphs, and among k-uniform hypergraphs with xed number of pendant edges. ... Mart nez et al. [16] studied … WebKeywords Hypergraph · Spectral radius · Adjacency tensor · Signless Laplacian tensor ·Incidence Q-tensor · Supertree 1 Introduction In 2005, Qi (2005) and Lim (2005) independently introduced the concept of tensor eigenvalues and the spectra of tensors. In 2008, Lim (2008) proposed the study of the spectra of hypergraphs via the spectra of ...

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Web10 de set. de 2024 · The adjacency tensor of an -uniform hypergraph on vertices is defined as the tensor of order and dimension whose -entry is. ... W. Zhang, L. Kang, E. Shan, and Y. Bai, “The spectra of uniform hypertrees,” Linear Algebra and … Web15 de nov. de 2024 · The weighted incidence matrix and some related results are also generalized. In Section 3, the spectra of r -uniform hypertrees are discussed. We find …

Web17 de mar. de 2012 · 35: J. N. Cooper, J. Davis, Successful Pressing Sequences for a Bicolored Graph and Binary Matrices, Linear Alg. Appl., 490 no. 1 (2016), 162{173. Web19 de out. de 2024 · Recently Su et. al [10] determine the first d 2 + 1 largest spectral radii of r-uniform hypertrees with size m and diameter d In this paper, using the theory of matching polynomial of hypertrees ...

Webfor eigenvalues of the adjacency matrix of a regular k-uniform hypergraph. Li and Sol e [12] established some further properties for eigenvalues of the adjacency matrix of a regular … WebOn the Adjacency Spectra of Hypertrees The Electronic Journal of Combinatorics 2024 We extend the results of Zhang et al. to show that λ is an eigenvalue of a k-uniform hypertree (k≥3) if and only if it is a root of a particular matching polynomial for a connected induced subtree. We then use this to ...

Webthis description to give a spectral characterization of \power" hypertrees (de ned below). Here the notion of a hypergraph’s eigenpairs is the homogeneous adjacency spectrum, …

Webfor eigenvalues of the adjacency matrix of a regular k-uniform hypergraph. Li and Sol e [12] established some further properties for eigenvalues of the adjacency matrix of a regular k-uniform hypergraph. Mart nez et al. [16] studied the spectra of the adjacency matrices of hypergraphs associated to \homogeneous spaces" of GL nover the nite eld F dynamic graphics clip artWeb5 de jan. de 2024 · Clark G J, Cooper J N. On the adjacency spectra of hypertrees. Electron J Combin, 2024, 25: P2.48. Article MathSciNet Google Scholar Cooper J, Dutle … crystal\u0027s 1fWeb19 de jul. de 2014 · Some spectral properties and characterizations of connected odd-bipartite uniform hypergraphs. J. Shao, H. Shan, Baofeng Wu. Mathematics. 2014. A … crystal\\u0027s 1gWeb20 de mar. de 2024 · The k-uniform s-hypertree G = (V,E) is an s-hypergraph, where 1 ≤ s ≤ k - 1; and there exists a host tree T with vertex set V such that each edge of G induces a connected subtree of T.In this paper, some properties of uniform s-hypertrees are establised, as well as the upper and lower bounds on the largest H-eigenvalue of the … crystal\\u0027s 1bWebLecture 2: Spectra of Graphs Lecturer: Thomas Sauerwald & He Sun Our goal is to use the properties of the adjacency/Laplacian matrix of graphs to rst under-stand the structure of the graph and, based on these insights, to design e cient algorithms. The study of algebraic properties of graphs is called algebraic graph theory. One of the most useful dynamic graphics magazineWeb1 de abr. de 2008 · The hierarchical product of graphs was introduced very recently by L. Barriére et al. in [L. Barriére, F. Comellas, C. Dafló and M. A. Fiol, On the spectra of … crystal\\u0027s 1hWeb1 de jul. de 2024 · Request PDF The spectra of uniform hypertrees ... The result extends a work by Clark and Cooper ({\em On the adjacency spectra of hypertrees, Electron. J. … crystal\u0027s 1g