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R ( 5 , 5 ) ≤ 48
Author(s) -
Angeltveit Vigleik,
McKay Brendan D.
Publication year - 2018
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.22235
Subject(s) - mathematics , combinatorics
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).