On the adjacency spectra of hypertrees

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Web1 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. … 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

On the Adjacency Spectra of Hypertrees - University of South …

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 … 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 … siga login professor fatec

On the spectra of hypertrees - [PDF Document]

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 · 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 ... WebOn the spectra of hypertrees. Francesc Comellas. 2008, Linear Algebra and Its Applications ... sigalove plastic surgeon

On the α-spectra of Uniform Hypergraphs and Its Associated Graphs

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Webbinary hypertrees and they can be recursively deﬁned as the so-called hierarchical product of several complete graphs on two vertices. AMS classiﬁcation: 05C50, 05C05. Key words: Graph operation, Hierarchical product, Tree, Adjacency matrix, Spectrum. 1 Introduction Many networks associated to real-life complex systems have a hierarchical 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 ... sigal plataformaWeb20 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 … the pregolya river map

"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 … " - On the adjacency spectra of hypertrees

On the adjacency spectra of hypertrees

WebOn the Adjacency Spectra of Hypertrees Gregory J. Clark and Joshua N. Cooper Department of Mathematics University of South Carolina October 14, 2024 Abstract We …

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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 … 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 ...

http://emis.math.tifr.res.in/journals/EJC/ojs/index.php/eljc/article/download/v25i2p48/pdf/ 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 …

WebBibliographic details on On the Adjacency Spectra of Hypertrees. To protect your privacy, all features that rely on external API calls from your browser are turned off by default.You need to opt-in for them to become active. 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 ...

Web30 de jul. de 2013 · We study both H and E/Z-eigenvalues of the adjacency tensor of a uniform multi-hypergraph and give conditions for which the largest positive H or Z …

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. … sigal simhony counselingWeb29 de mar. de 2024 · adjacency sp ectra of hypert re es, Electr on. J. Combin., 25 (2)(2024) # P2.48) to weighted k-trees. As applications, two analogues of the above work … the prego 怪しい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 … sigall constructionWeb3 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 … sig alpha 4 mountWebof 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. sigalov law firmWeb20 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 … sig alpha mountWeb29 de mar. de 2024 · DOI: 10.37236/10942 Corpus ID: 247778820; Spectra of Weighted Uniform Hypertrees @article{Wan2024SpectraOW, title={Spectra of Weighted Uniform … the prehab guys