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On the adjacency spectra of hypertrees

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 degree of (connectedness) hierarchy. Such structures are here called binary hypertrees and they can be recursively defined as the so-called hierarchical product of several … 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 ...

[PDF] Spectra of Weighted Uniform Hypertrees Semantic Scholar

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 … 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 … how to store kaffir lime leaves https://swrenovators.com

The spectra of uniform hypertrees - ScienceDirect

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. 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 ... 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 … read writing phonics

Joshua N. Cooper - University of South Carolina

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On the adjacency spectra of hypertrees

c arXiv:1810.06139v1 [math.CO] 15 Oct 2024

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 … Webthis 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, …

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. … WebEnter the email address you signed up with and we'll email you a reset link.

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 …

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 … 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 …

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 …

Web29 de mar. de 2024 · DOI: 10.37236/10942 Corpus ID: 247778820; Spectra of Weighted Uniform Hypertrees @article{Wan2024SpectraOW, title={Spectra of Weighted Uniform … how to store kale in the fridgeWebLet $T$ be a $k$-tree equipped with a weighting function $\w: V(T)\cup E(T)\rightarrow \C$, where $k \geq 3$. The weighted matching polynomial of the weighted $k ... read xbox 360 flash drive on pcWeb20 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 … read xbox 360 hard drive on pcWeb15 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. read xbrlWebGregory 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 read x of swords tpbhow to store kayaks in garageWeb1 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. … how to store kayaks at home