Simplifying the computation of the spectrum of the complete k-uniform hypergraph
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.03.003
Abstract: Abstract In this paper, we give a method to simplify the computation of the spectrum of the complete k-uniform hypergraph with n vertices, which gives a partial answer to a question posed by Cooper and… read more here.
Keywords: spectrum complete; computation spectrum; hypergraph; uniform hypergraph ... See more keywords
Complete Uniform Asymptotic Expansion of Finite-Range Integral Representation of Dyadic Green’s Function for Ordinary Dielectric Half-Space
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DOI: 10.1109/tap.2023.3342936
Abstract: The dyadic Green’s function (DGF) is expressed in terms of a double integral whose integrand contains the spatial derivatives of the Sommerfeld integral (SI) of the impedance plane when an electric dipole and observation point… read more here.
Keywords: complete uniform; double integral; green function; integral representation ... See more keywords
On cycle decompositions of complete 3-uniform hypergraphs
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DOI: 10.2298/fil2505683s
Abstract: The complete 3-uniform hypergraph K(3)n of order n has a set V of cardinality n as its vertex set and the set of all 3 element subsets of V as its edge set. For n… read more here.
Keywords: uniform hypergraphs; complete uniform; edge set; cycle decompositions ... See more keywords
Tight 9-Cycle Decompositions of λ-Fold Complete 3-Uniform Hypergraphs
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DOI: 10.3390/math12193101
Abstract: For 2≤t≤m, let Zm denote the group of integers modulo m, and let TCm(t) denote the t-uniform hypergraph with vertex set Zm and hyperedge set {{i,i+1,i+2,…,i+t−1}:i∈Zm}. Any hypergraph isomorphic to TCm(t) is a t-uniform tight… read more here.
Keywords: tight cycle; complete uniform; fold complete; cycle decompositions ... See more keywords