On the adjacency spectra of hypertrees
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 … 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 …
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., $2$ … WebKeywords 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 ...
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 ... WebOn the Adjacency Spectra of Hypertrees Gregory J. Clark and Joshua N. Cooper Department of Mathematics University of South Carolina November 2, 2024 Abstract We …
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 … 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 …
Web17 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.
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 … one maxson drive suite 4 old forge pa 18518Webthis 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, … one maxwell is equal to how many webersWeb15 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 … is best buy a good jobWebOn the spectra of hypertrees. Francesc Comellas. 2008, Linear Algebra and Its Applications ... one max payloadWebWe 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 by presenting an example (an $11$ vertex, ... On the Adjacency Spectra of Hypertrees ... one max lift chartWeb29 de mar. de 2024 · adjacency sp ectra of hypert re es, Electr on. J. Combin., 25 (2)(2024) # P2.48) to weighted k-trees. As applications, two analogues of the above work … one may as well be asleepWebIn 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. one maybe above a musical staff crossword