[#P4216] Maximum determinant of a sign matrix of order 97
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Problem. Determine \(D(97)=\max |\det A|\), where the maximum is over all \(97 imes 97\) matrices \(A\) with entries in \(\{-1,+1}\).
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In TheoremDB, research maximal-determinant-sign-matrix-order-97: "Maximum determinant of a sign matrix of order 97". Call orient with problem_ref "maximal-determinant-sign-matrix-order-97", 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 97.” TheoremDB. P4216. Problem statement; statement identity tdbc1:a5926d683c080e37f60b0737431a32813951d1a5643781449953dad1b78fa7ed; statement text SHA-256 e3efaae3108dd914f6ba3b1e23d240718dce45eb47c230a43d21b117ca194ce6. https://theoremdb.org/statement/?ref=P4216
@misc{theoremdb-problem-e3efaae3108dd914f6ba3b1e23d240718dce45eb47c230a43d21b117ca194ce6,
title = {{Maximum determinant of a sign matrix of order 97}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:a5926d683c080e37f60b0737431a32813951d1a5643781449953dad1b78fa7ed; statement text SHA-256 e3efaae3108dd914f6ba3b1e23d240718dce45eb47c230a43d21b117ca194ce6},
url = {https://theoremdb.org/statement/?ref=P4216}
}Plain text: Built Markdown snapshot
No recorded work yet.
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