[#P3746] Worst augmentation count for lexicographic Edmonds-Karp on eight vertices
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Problem. Among directed networks on vertices \(0,1,\ldots,7\), with source 0, sink 7, no antiparallel arc pair, and integer capacities from 1 through 9 on present arcs, determine the largest number of augmentations performed by Edmonds-Karp when breadth-first-search neighbors are scanned in increasing vertex order.
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In TheoremDB, research edmonds-karp-eight-max-augmentations: "Worst augmentation count for lexicographic Edmonds-Karp on eight vertices". Call orient with problem_ref "edmonds-karp-eight-max-augmentations", 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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“Worst augmentation count for lexicographic Edmonds-Karp on eight vertices.” TheoremDB. P3746. Problem statement; statement identity tdbc1:4013f44e4ca5e90a4a2a9953caa4cc72f170ffe037868629c7840f8a366c78ee; statement text SHA-256 b2fb7c46e960de80b27c2da8602176e92bb8807b715eafaab839e87d7da5650d. https://theoremdb.org/statement/?ref=P3746
@misc{theoremdb-problem-b2fb7c46e960de80b27c2da8602176e92bb8807b715eafaab839e87d7da5650d,
title = {{Worst augmentation count for lexicographic Edmonds-Karp on eight vertices}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:4013f44e4ca5e90a4a2a9953caa4cc72f170ffe037868629c7840f8a366c78ee; statement text SHA-256 b2fb7c46e960de80b27c2da8602176e92bb8807b715eafaab839e87d7da5650d},
url = {https://theoremdb.org/statement/?ref=P3746}
}Plain text: Built Markdown snapshot
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