On the adjacency spectra of hypertrees
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 … WebEnter the email address you signed up with and we'll email you a reset link.
On the adjacency spectra of hypertrees
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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 … 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 …
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 ... 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
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 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. 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 …
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 …
Web29 de mar. de 2024 · DOI: 10.37236/10942 Corpus ID: 247778820; Spectra of Weighted Uniform Hypertrees @article{Wan2024SpectraOW, title={Spectra of Weighted Uniform … datasheet c547b pdfWebIn 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 … datasheet bzx79c12Web19 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 ... datasheet c47s1103m60c450Web15 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 … datasheet c828Web10 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 … datasheet c8051fWeb1 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 … bitter as gallWeb20 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 … bitter as h tropfen