On the adjacency spectra of hypertrees
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 … 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
On the adjacency spectra of hypertrees
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Web19 de jul. de 2014 · Some spectral properties and characterizations of connected odd-bipartite uniform hypergraphs. J. Shao, H. Shan, Baofeng Wu. Mathematics. 2014. A … 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 ...
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 http://emis.math.tifr.res.in/journals/EJC/ojs/index.php/eljc/article/download/v25i2p48/pdf/
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
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 ...
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 … costco alimentationWebEnter the email address you signed up with and we'll email you a reset link. costco algarveWeb10 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 … costco aleveWeb1 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 … costco alive vitaminWebOn the spectra of hypertrees. Francesc Comellas. 2008, Linear Algebra and Its Applications ... costco alienwareWeb3 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 … costco alignment tiresWebthis 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, … costco align probiotic supplement