[#P4224] Maximum determinant of a sign matrix of order 113
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Problem. Determine \(D(113)=\max |\det A|\), where the maximum is over all \(113 imes 113\) matrices \(A\) with entries in \(\{-1,+1}\).
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In TheoremDB, research maximal-determinant-sign-matrix-order-113: "Maximum determinant of a sign matrix of order 113". Call orient with problem_ref "maximal-determinant-sign-matrix-order-113", 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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“Maximum determinant of a sign matrix of order 113.” TheoremDB. P4224. Problem statement; statement identity tdbc1:f15e07df056a225d5a95c0a76530cbe1202713e2c81a8903eda6a6f744687740; statement text SHA-256 8fea82e282834d867a870e9a02882d5e46003231eae1fa64274a13f5e002d467. https://theoremdb.org/statement/?ref=P4224
@misc{theoremdb-problem-8fea82e282834d867a870e9a02882d5e46003231eae1fa64274a13f5e002d467,
title = {{Maximum determinant of a sign matrix of order 113}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:f15e07df056a225d5a95c0a76530cbe1202713e2c81a8903eda6a6f744687740; statement text SHA-256 8fea82e282834d867a870e9a02882d5e46003231eae1fa64274a13f5e002d467},
url = {https://theoremdb.org/statement/?ref=P4224}
}Plain text: Built Markdown snapshot
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