WebA triangle in a k-uniform hypergraph is a 3-cycle that contains no 2-cycle. In other words, it is a collection of three sets A;B;Csuch that every two of these sets have intersection of size … WebIn a series of recent works, we have generalised the consistency results in the stochastic block model literature to the case of uniform and non-uniform hypergraphs. The present …

Three-Uniform Hypergraphs - Wolfram Demonstrations …

WebOct 29, 2024 · A k-uniform hypergraph is hamiltonian if for some cyclic ordering of its vertex set, every k consecutive vertices form an edge. In 1952 Dirac proved that if the minimum degree in an n-vertex graph ... WebMay 1, 2012 · For a k-uniform hypergraph, one can obtain a straightforward generalization to an order-k array (essentially, a tensor), but in doing so, one loses the powerful and sophisticated tools of linear algebra with which to analyze it. money transfer germany to canada

Extremal aspects of graph and hypergraph decomposition problems

WebFeb 27, 2024 · The Wiener index of a (hyper)graph is calculated by summing up the distances between all pairs of vertices. We determine the maximum possible Wiener index of a connected n-vertex k-uniform... Webuniform hypergraph is generically globally signed d-volume rigid in Rd if every generic framework of it admits only one congruence class: Theorem 1.2. Let d ≥ 1 and n ≥ d + 1. There exists a generically minimally rigid (d + 1)-uniform hypergraph Θ on n vertices that is generically globally signed d-volume rigid in Rd. WebAbstract. We consider the problem of two-coloring n -uniform hypergraphs. It is known that any such hypergraph with at most \frac {1} {10}\sqrt {\frac {n} {\ln n}} 2^n hyperedges can … money transfer gif