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Computes bounds for Ramsey numbers and misc. functionality

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RamseyTh

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What it does


Ramsey3ColBounder.boundR()

This will obtain an upper bound on R(a, b, c) for 1 <= a, b, c <= 10

R(a, b, c) is least n such that for all 3-colorings of the edges of an n-clique, there exists either

  1. RED a-clique or
  2. BLUE b-clique or
  3. GREEN c-clique

Ramsey2ColBounder.boundR()

This will obtain an upper bound on R(a, b) for 1 <= a, b <= 10

R(a, b) is least n such that for all 2-colorings of the edges of an n-clique, there exists either

  1. RED a-clique or
  2. BLUE b-clique or

HomogSetChecker.hasHomogSetSizeK()

Given a coloring of a complete graph (it's edges) and number k, tells you whether or not the graph has a homogenous set size k.

A homogenous set H is a subclique such that (\forall a, b, c, d \in H)[COL(a, b) = COL(c, d)]


HomogSetChecker.findMaxHomogSetSize()

Given a coloring of a clique (it's edges) and number k, tells you the size of a maximum homogenous set.

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Computes bounds for Ramsey numbers and misc. functionality

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