On the adjacency spectra of hypertrees
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 ... 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 …
On the adjacency spectra of hypertrees
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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 … Web3 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 …
WebEnter the email address you signed up with and we'll email you a reset link. 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
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 ... 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 …
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 …
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 … can ra cause enlarged spleenWebKeywords 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 ... can ra cause asthmaWeb17 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. can ra cause coughingWeb4 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 … can ra cause body achesWeb19 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 ... can ra cause elevated liver enzymesWebof 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. can ra cause flu like symptomsWebIn 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 matching. The structure of the remaining part of the paper is as follows: In Section 2, we give some basic de nitions and results for tensor and spectra of hypergraphs. flanagan\\u0027s food and drink