WebFeb 21, 2014 · Title: Simple containers for simple hypergraphs. Authors: David Saxton, Andrew Thomason. Download PDF Abstract: We give an easy method for constructing containers for simple hypergraphs. Some applications are given; in particular, a very transparent calculation is offered for the number of H-free hypergraphs, where H is … WebNov 4, 2016 · Abstract: A set of containers for a hypergraph G is a collection of vertex subsets, such that for every independent (or, indeed, merely sparse) set in G there is …
[PDF] Online containers for hypergraphs, with applications to …
WebMath. 201 (2015), pp. 925–992], has been used to study sparse random analogs of a variety of classical problems from combinatorics and number theory. The previously known proofs of the containers theorem use the so-called scythe algorithm—an iterative procedure that runs through the vertices of the hypergraph. (Saxton and Thomason [Combin ... WebOct 21, 2024 · We prove a new, efficient version of the hypergraph container theorems that is suited for hypergraphs with large uniformities. The main novelty is a refined approach to constructing containers that employs simple ideas from high-dimensional convex geometry. The existence of smaller families of containers for independent sets in such … mgf download
THE METHOD OF HYPERGRAPH CONTAINERS - IME …
WebJan 22, 2024 · Recently the breakthrough method of hypergraph containers, developed independently by Balogh, Morris, and Samotij as well as Saxton and Thomason, has … WebSep 12, 2024 · Recently the breakthrough method of hypergraph containers, developed independently by Balogh, Morris, and Samotij [J. Amer. Math. Soc. 28 (2015), pp. 669–709] as well as Saxton and Thomason [Invent. WebJan 1, 2024 · Calculation of centrality metrics in hypergraphs for maritime container service networks. The following subsections particularise the metrics introduced in Section 2 to hypergraphs (either HL-graphs or HP-graphs), with a specific emphasis on the proposed new betweenness centrality metric in Section 4.2.1. 4.2.1. Betweenness centrality mg feeding