Web26 de mai. de 2024 · Sivasubramanian, S. Spanning trees in complete uniform hypergraphs and a connection to extended r-Shi hyperplane arrangements. arXiv:math/0605083.Google Scholar [32] Warme, D. M. (1998) Spanning Trees in Hypergraphs with Applications to Steiner Trees. Ph.D Thesis, University of Virginia. Web13 de jan. de 2024 · In recent work with Rödl and Schacht it turned out that the regularity method for hypergraphs, established by Gowers and by Rödl et al. about a decade ago, is a suitable tool for extremal problems of this …
Sharp Bounds on the Spectral Radii of Uniform Hypergraphs …
WebFor 0≤α<1 and a uniform hypergraph G, we consider the spectral radius of Aα(G)=αD(G)+(1−α)A(G), which is called the α-spectral radius of G, where D(G) ... On the α-spectral radius of irregular uniform hypergraphs. Hongying Lin Center for Applied Mathematics, Tianjin University, ... Web15 de mar. de 2024 · The eccentric connectivity index of a connected hypergraph G with vertex set V (G) is defined as ξ c (G) = ∑ u ∈ V (G) d u η u, where d u denotes the degree of u and η u denotes the eccentricity of u in G.We propose some hypergraph transformations that increase or decrease the eccentric connectivity index of a uniform hypergraph. east hoxton
Equitable colorings of nonuniform hypergraphs SpringerLink
Web23 de jun. de 2011 · Spectra of Uniform Hypergraphs. Joshua Cooper, Aaron Dutle. We present a spectral theory of hypergraphs that closely parallels Spectral Graph Theory. A … Webchromatic number of r-uniform hypergraphs onnvertices within a factor n1− for any > 0, unless NP ⊆ ZPP. On the positive side, improving a result of Hofmeister and Lefmann, we present an approximation algorithm for coloring r-uniform hypergraphs onnvertices, whose performance ratio is O(n(loglogn)2/(logn)2). 2003 Elsevier Inc. All rights ... Web10 de set. de 2024 · Abstract. For and a uniform hypergraph G, we consider the spectral radius of , which is called the α-spectral radius of G, where and are the diagonal tensor … cultivation chat group seven