On some small classical Ramsey numbers
type: Item
instance of: scholarly article
title: On some small classical Ramsey numbers
zbMATH Open document ID: 1266.05088
author: Geoffrey Exoo
published in: The Electronic Journal of Combinatorics
publication date: 2013-06-07T00:00:00Z
full work available at URL: v20i1p68
review text: Summary: This note is a report on a computer investigation of some small classical Ramsey numbers. We establish new lower bounds for the classical Ramsey numbers \(R(3,11)\) and \(R(4,8)\). In the first case, the bound is improved from 46 (a record that had stood for 46 years) to 47; and in the second case the bound is improved from 57 to 58.
Mathematics Subject Classification ID: 05C55
Mathematics Subject Classification ID: 05D10
zbMATH DE Number: 6171907
zbMATH Keywords: classical Ramsey number
zbMATH Keywords: lower bound
zbMATH Keywords: edge coloring
zbMATH Keywords: simulated annealing
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6171907