기초과학연구원 이산수학그룹
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Ramsey's Theorem guarantees for every graph H that any 2-edge-coloring of a sufficiently large complete graph contains a monochromatic copy of H. As probabilistic constructions often provide good bounds on quantities in extremal combinatorics, we say that a graph H is common if the random 2-edge-coloring asymptotically minimizes the number of monochromatic copies of H. … |
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2023 Mini-Workshop on Discrete Geometry will be held on August 9th at Room B332, Institute for Basic Science (IBS), Daejeon, Republic of Korea. The workshop consists of three presentations on recent results and an open problem session. Researchers who are highly interested in this field are welcome to attend. Tentative schedule 10:00-10:50 Michael Dobbins (SUNY …
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How can one arrange a collection of convex sets in d-dimensional Euclidean space? This guiding question is fundamental in discrete geometry, and can be made concrete in a variety of ways, for example the study of hyperplane arrangements, embeddability of simplicial complexes, Helly-type theorems, and more. This talk will focus on the classical topic of d-representable … |
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An oriented graph is a digraph that does not contain a directed cycle of length two. An (oriented) graph |
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Take a prime power |
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