On the adjacency spectra of hypertrees
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 … 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 …
On the adjacency spectra of hypertrees
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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., $2$-uniform ... On the Adjacency Spectra of Hypertrees @article{Clark2024OnTA, title={On the Adjacency Spectra of Hypertrees}, author={Gregory J. Clark and Joshua N. … 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
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 … 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 ...
Web15 de jul. de 2024 · Abstract. For 0 ≤ α < 1 and a k -uniform hypergraph H, the tensor Aα ( H) associated with H is defined as Aα ( H) = αD ( H) + (1 − α) A ( H ), where D (ℋ) and A ( H) are the diagonal tensor of degrees and the adjacency tensor of H, respectively. The α-spectra of H is the set of all eigenvalues of Aα ( H) and the α-spectral radius ... 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., $2$ …
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. ipl searchWeb29 de mar. de 2024 · DOI: 10.37236/10942 Corpus ID: 247778820; Spectra of Weighted Uniform Hypertrees @article{Wan2024SpectraOW, title={Spectra of Weighted Uniform … ipl shieldsWeb3 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 … orapa weatherWebWe 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 … orapax game preservehttp://emis.math.tifr.res.in/journals/EJC/ojs/index.php/eljc/article/download/v25i2p48/pdf/ orapa to francistownWeb25 de set. de 2012 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … orapax richmond vaWebIn 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 … orapa what desert