On the adjacency spectra of hypertrees

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August undefined, 2024

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 ...

On the spectra of hypertrees Request PDF - ResearchGate

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. … 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 … how to root a broken fig branch

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Web1 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. … Web15 de jul. de 2024 · Abstract. For 0 ≤ α < 1 and a k -uniform hypergraph H, the tensor Aα ( H) associated with H is defined as Aα ( H) = αD ( H) + (1 − α) A ( H ), where D (ℋ) and A ( H) are the diagonal tensor of degrees and the adjacency tensor of H, respectively. The α-spectra of H is the set of all eigenvalues of Aα ( H) and the α-spectral radius ... Web1 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 … how to root acorns

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The spectra of uniform hypertrees Request PDF - ResearchGate

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 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 ... northern irish postcodesWebKeywords 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 ... how to room patients efficiently

"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 … " - On the adjacency spectra of hypertrees

On the adjacency spectra of hypertrees

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Web1 de abr. de 2008 · Spectral properties The adjacency matrix of T m is A m = parenleftbigg A m−1 I I 0 parenrightbigg , (1) where the dimensions of each block are 2 m−1 × 2 m−1 … WebGregory J. Clark Research Fellow Sa¨ıd Business School, University of Oxford [email protected] www.gregjclark.com Mathematical Research Interests: Spectral Hypergraph Theory, Computational Algebra, k-planar

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Web25 de set. de 2012 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … Web29 de mar. de 2024 · The weighted matching polynomial of the weighted -tree $ (T,\w)$ is defined to be. where denotes the set of matchings (including empty set) of . In this paper, …

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 ... 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 …

Web26 de jun. de 2016 · On the spectra of hypertrees; of 12 /12. Match case Limit results 1 per page. Linear Algebra and its Applications 428 (2008) ... Tree; Adjacency matrix; Spectrum 1. Introduction ... Web5 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 …

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 …

WebLecture 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 northern irish railways timetableWeb19 de jul. de 2014 · Some spectral properties and characterizations of connected odd-bipartite uniform hypergraphs. J. Shao, H. Shan, Baofeng Wu. Mathematics. 2014. A … northern irish road racer davy morganWeb1 de abr. de 2008 · Semantic Scholar extracted view of "On The Spectra of Hypertrees" by L. Barrière et al. Skip to search form Skip to main content Skip to account menu. … northern irish registration numbersWebdius 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 … northern irish road safety advertWebOn 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 ... northern irish potato bread recipeWebfor 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 … northern irish sayings phrasesWebEnter the email address you signed up with and we'll email you a reset link. how to root a bird of paradise plant