On the adjacency spectra of hypertrees
WebLecture 2: Spectra of Graphs Lecturer: Thomas Sauerwald & He Sun Our goal is to use the properties of the adjacency/Laplacian matrix of graphs to rst under-stand the structure of the graph and, based on these insights, to design e cient algorithms. The study of algebraic properties of graphs is called algebraic graph theory. One of the most useful Web15 de jul. de 2024 · We apply this notion to the "adjacency hypermatrix" of a uniform hypergraph, and prove a number of natural analogues of basic results in Spectral Graph Theory. Open problems abound, and we present ...
On the adjacency spectra of hypertrees
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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 ... 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 …
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 … 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 …
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 … 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 …
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 …
for baby musical crib toysWeb10 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 … elite gourmet contact numberWebEnter the email address you signed up with and we'll email you a reset link. elite gourmet catering bangor paWebKeywords 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 ... for baby furnitureWeb15 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. elite gourmet - 4 slice long slot toasterWebOn the spectra of hypertrees. Francesc Comellas. 2008, Linear Algebra and Its Applications ... elite golf carts floridaWebIn 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 … elite gourmet 3 qt slow cooker