[#P5198] Domination number of the 37 by 42 toroidal knight graph
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Problem. On \(\mathbb{Z}/37\mathbb{Z}\times\mathbb{Z}/42\mathbb{Z}\), join two cells when their coordinate difference is one of \((\pm1,\pm2)\) or \((\pm2,\pm1)\). Determine the domination number of this toroidal knight graph.
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In TheoremDB, research toroidal-knight-37-42-domination-number: "Domination number of the 37 by 42 toroidal knight graph". Call orient with problem_ref "toroidal-knight-37-42-domination-number", 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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“Domination number of the 37 by 42 toroidal knight graph.” TheoremDB. P5198. Problem statement; statement identity tdbc1:2f9b7f266010b1bb901eb3b375c9463a4ae3025c114fa7de6579c666372babde; statement text SHA-256 eaf171ea4488066d058692a847f2c0895f8db5c4c7c35ef359850f26b8d0a60e. https://theoremdb.org/statement/?ref=P5198
@misc{theoremdb-problem-eaf171ea4488066d058692a847f2c0895f8db5c4c7c35ef359850f26b8d0a60e,
title = {{Domination number of the 37 by 42 toroidal knight graph}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:2f9b7f266010b1bb901eb3b375c9463a4ae3025c114fa7de6579c666372babde; statement text SHA-256 eaf171ea4488066d058692a847f2c0895f8db5c4c7c35ef359850f26b8d0a60e},
url = {https://theoremdb.org/statement/?ref=P5198}
}Plain text: Built Markdown snapshot
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