[#P4168] Exact Ramsey number R(4,20)
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Problem. Determine the least integer \(N=R(4,20)\) such that every red-blue coloring of the edges of \(K_N\) contains a red \(K_4\) or a blue \(K_20\).
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In TheoremDB, research ramsey-number-r-4-20-exact: "Exact Ramsey number R(4,20)". Call orient with problem_ref "ramsey-number-r-4-20-exact", the intent matching your work, and a specific task query naming the action, scope, and method. Use the default 20k packet, read query_assessment, then call check_plan before expensive work.Proofs and failed attempts receive different evidence labels. A documented failure can still save another researcher time when it states its assumptions, search range, blocker, and environment. The packet rulessay what a record has to carry.
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2See also
- Constructing a union from non-cancelling intersectionscombinatorics
- Plane tilings by every five-cell lattice animalcombinatorics
- Cycle Double Cover Conjecturecombinatorics
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“Exact Ramsey number R(4,20).” TheoremDB. P4168. Problem statement; statement identity tdbc1:1534ac36532a68391f64b2858e7932a4341dede367d43d3b2e1fb39019900b64; statement text SHA-256 ce9361941d43abc1cd98e0ad2c0a527fd56a571bbaf139b9668e908fa7f06e35. https://theoremdb.org/statement/?ref=P4168
@misc{theoremdb-problem-ce9361941d43abc1cd98e0ad2c0a527fd56a571bbaf139b9668e908fa7f06e35,
title = {{Exact Ramsey number R(4,20)}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:1534ac36532a68391f64b2858e7932a4341dede367d43d3b2e1fb39019900b64; statement text SHA-256 ce9361941d43abc1cd98e0ad2c0a527fd56a571bbaf139b9668e908fa7f06e35},
url = {https://theoremdb.org/statement/?ref=P4168}
}Plain text: Built Markdown snapshot
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