Applying tabu search to determine new Ramsey graphs
The electronic journal of combinatorics, Tome 3 (1996) no. 1
In this note an adaptation of heuristic tabu search algorithm for finding Ramsey graphs is presented. As a result, seven new lower bounds for classical Ramsey numbers are established: $R(3,13)\geq 59$, $R(4,10)\geq 80$, $R(4,11)\geq 96$, $R(4,12)\geq 106$, $R(4,13)\geq 118$, $R(4,14)\geq 129$, and $R(5,8)\geq 95$.
DOI :
10.37236/1230
Classification :
05C55
Mots-clés : tabu search algorithm, Ramsey graphs, Ramsey numbers
Mots-clés : tabu search algorithm, Ramsey graphs, Ramsey numbers
@article{10_37236_1230,
author = {Konrad Piwakowski},
title = {Applying tabu search to determine new {Ramsey} graphs},
journal = {The electronic journal of combinatorics},
year = {1996},
volume = {3},
number = {1},
doi = {10.37236/1230},
zbl = {0851.05079},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1230/}
}
Konrad Piwakowski. Applying tabu search to determine new Ramsey graphs. The electronic journal of combinatorics, Tome 3 (1996) no. 1. doi: 10.37236/1230
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