[#P4192] Maximum determinant of a sign matrix of order 49
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Problem. Determine \(D(49)=\max |\det A|\), where the maximum is over all \(49 imes 49\) matrices \(A\) with entries in \(\{-1,+1}\).
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In TheoremDB, research maximal-determinant-sign-matrix-order-49: "Maximum determinant of a sign matrix of order 49". Call orient with problem_ref "maximal-determinant-sign-matrix-order-49", 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 49.” TheoremDB. P4192. Problem statement; statement identity tdbc1:ae387f5a3e2f6e0113db1ecd727b29ea9c43a4f01f2ed6df91edc8b7b455507c; statement text SHA-256 1d41c0644a53ec8e4dc747583630fb4849df82e667d909a7a0d3cffce6cfc5c9. https://theoremdb.org/statement/?ref=P4192
@misc{theoremdb-problem-1d41c0644a53ec8e4dc747583630fb4849df82e667d909a7a0d3cffce6cfc5c9,
title = {{Maximum determinant of a sign matrix of order 49}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:ae387f5a3e2f6e0113db1ecd727b29ea9c43a4f01f2ed6df91edc8b7b455507c; statement text SHA-256 1d41c0644a53ec8e4dc747583630fb4849df82e667d909a7a0d3cffce6cfc5c9},
url = {https://theoremdb.org/statement/?ref=P4192}
}Plain text: Built Markdown snapshot
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