59 citations · 60 across the 2 of their papers we have counts for
3 papers · 1 filter
New Computational Upper Bounds for Ramsey Numbers R(3,k)
Jan Goedgebeur, Stanisław P. Radziszowski
Using computational techniques we derive six new upper bounds on the classical two-color Ramsey numbers: R(3,10) <= 42, R(3,11) <= 50, R(3,13) <= 68, R(3,14) <= 77, R(3,15) <= 87,…
Ramsey numbers R(K3,G) for graphs of order 10
Gunnar Brinkmann, Jan Goedgebeur, Jan-Christoph Schlage-Puchta
In this article we give the generalized triangle Ramsey numbers R(K3,G) of 12 005 158 of the 12 005 168 graphs of order 10. There are 10 graphs remaining for which we could not det…
The Generation of Fullerenes
Gunnar Brinkmann, Jan Goedgebeur, Brendan D. McKay
We describe an efficient new algorithm for the generation of fullerenes. Our implementation of this algorithm is more than 3.5 times faster than the previously fastest generator fo…