On the adjacency spectra of hypertrees

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August undefined, 2024

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. 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 ...

On the spectra of hypertrees - [PDF Document]

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 ... Web25 de set. de 2012 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … flnb dayton tx

The extremal spectral radii of -uniform supertrees - Springer

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 … 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 … WebMentioning: 25 - The spectra of uniform hypertrees - Zhang, Wei, Kang, Liying, Bai, Yanqin great harvest bread peoria

The Linear Unicyclic Hypergraph with the Second or Third …

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 Web20 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 … great harvest bread peoria ilWeb20 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 … flnb-related spectrum disorders

"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 … " - On the adjacency spectra of hypertrees

On the adjacency spectra of hypertrees

Spectral moments of hypertrees and their applications

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 WebOn the Adjacency Spectra of Hypertrees Gregory J. Clark and Joshua N. Cooper Department of Mathematics University of South Carolina November 2, 2024 Abstract We …

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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 ... 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 …

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., $2$ … 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 …

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. 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 …

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.

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 ... great harvest bread pasco waWeb3 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 … great harvest bread pascohttp://emis.math.tifr.res.in/journals/EJC/ojs/index.php/eljc/article/download/v25i2p48/pdf/ great harvest bread peoria il menuWeb15 de nov. de 2024 · The spectral radius of a uniform hypergraph is defined to be that of the adjacency tensor of the hypergraph. ... The spectra of uniform hypertrees. Linear Algebra Appl., 533, 84–94 (2024) Article MathSciNet Google Scholar Zhou, J., Sun, L., Wang, W., et al.: Some spectral properties of uniform hypergraphs. fln christmas streamWeb1 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. … flnclip-bkWeb29 de mar. de 2024 · DOI: 10.37236/10942 Corpus ID: 247778820; Spectra of Weighted Uniform Hypertrees @article{Wan2024SpectraOW, title={Spectra of Weighted Uniform … flnc heartWeb4 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. … great harvest bread rapid city