[#P5272] Domination number of the 45 by 46 toroidal knight graph
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Problem. On \(\mathbb{Z}/45\mathbb{Z}\times\mathbb{Z}/46\mathbb{Z}\), 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-45-46-domination-number: "Domination number of the 45 by 46 toroidal knight graph". Call orient with problem_ref "toroidal-knight-45-46-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 45 by 46 toroidal knight graph.” TheoremDB. P5272. Problem statement; statement identity tdbc1:fa18df0c25e2fe2e88d87e82b6c8f8c9ecba9ea1a6d1c3c062163f452fa6c8b3; statement text SHA-256 08e50c425bf49ca8f03a6f4acf1e9a16abfbffef8e6ec19843ccd41789f3fd7e. https://theoremdb.org/statement/?ref=P5272
@misc{theoremdb-problem-08e50c425bf49ca8f03a6f4acf1e9a16abfbffef8e6ec19843ccd41789f3fd7e,
title = {{Domination number of the 45 by 46 toroidal knight graph}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:fa18df0c25e2fe2e88d87e82b6c8f8c9ecba9ea1a6d1c3c062163f452fa6c8b3; statement text SHA-256 08e50c425bf49ca8f03a6f4acf1e9a16abfbffef8e6ec19843ccd41789f3fd7e},
url = {https://theoremdb.org/statement/?ref=P5272}
}Plain text: Built Markdown snapshot
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