기초과학연구원 이산수학그룹
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In the 1980s, Ron Graham asked whether every red/blue coloring of the positive integers contains a monochromatic Pythagorean triple and offered a $100 prize for the answer. The bounty was claimed in 2016 by Heule, Kullmann, and Marek, who showed that every such coloring of has a monochromatic triple. Their proof used SAT solvers and … |
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The codegree Turán density γ(F) of a k-uniform hypergraph F is the smallest γ ≥ 0 with the following property: if every set of k−1 vertices in an n-vertex k-uniform hypergraph H lies in at least (γ+o(1))n edges, then H contains a copy of F for all sufficiently large n. Piga, Sanhueza-Matamala, and Schacht proved … |
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