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arXiv · 1908.10215

Moment Calculus on Ramsey Graph

Thotsaporn Thanatipanonda
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Abstract

When I did my thesis defense presentation eleven years ago, I chose to present the subject of Ramsey theory from the moment calculus perspective. I don't think I did too well there (although I passed). Time has passed and this is the chance to redeem myself. Here we relate Ramsey numbers, $R(k,k)$, with the method of moment calculus by checking the distribution of numbers of monochromatic complete subgraph of $k$ vertices in the random graphs. We also review Delaporte distribution's connection that was mentioned in the paper by Robertson, Cipolli and Dascalu.

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Thotsaporn Thanatipanonda. 2019-08-27. Moment Calculus on Ramsey Graph. https://arxiv.org/abs/1908.10215

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