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New Ramsey Multiplicity Bounds

Parczyk, Olaf; Pokutta, Sebastian; Spiegel, Christoph; Szabó, Tibor

These are the supplementary files for the paper “New Ramsey Multiplicity Bounds and Search Heuristics” by Parczyk, Pokutta, Spiegel, and Szabo.

Upper bounds.   All graphs are described through their graph6 string. A full description of how to derive this description is included in the file  graph6_description.txt. All small constructions are stated in the paper and the larger constructions are contained in the archive graphs.zip.

Lower bounds.   We supply a certificate for all lower bounds stated in our paper in the archive graphs.zip that can be verified using  flagmatic. At the time of writing, a version of flagmatic can be found at https://github.com/jsliacan/flagmatic.

Files (247.4 MB)
Name Size
certificates.zip
md5:367b90daeb4b7f5f530176bcb280f359
247.3 MB Download
graph6_description.txt
md5:45d08073c51907304d4d3ac9e5596938
6.7 kB Download
graphs.zip
md5:587c961bd729d6c164e58b96d7bce574
29.5 kB Download
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