Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleR(5,5) ≤ 48.AuthorsAngeltveit, Vigleik; McKay, Brendan D.AbstractAbstract: We improve the upper bound on the Ramsey number R(5, 5) from R ( 5 , 5 ) ≤ 49 to R ( 5 , 5 ) ≤ 48. We also complete the catalog of extremal graphs for R(4, 5).SubjectsRAMSEY numbers; GRAPH theory; EXTREMAL problems (Mathematics); RAMSEY theory; MATHEMATICAL boundsPublicationJournal of Graph Theory, 2018, Vol 89, Issue 1, p5ISSN0364-9024Publication typeArticleDOI10.1002/jgt.22235