trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Weighted-tree cycle row error and sharp constant one

Actual rows of a positively weighted finite tree cannot uniformly approximate a positive bidirectional simple cycle below its least directed rate; endpoint folding attains the bound for every cycle size.

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THEOREM

A finite nonempty forest has a vertex with at most one neighbor

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Weighted-tree cycle row error and sharp constant oneWeighted-tree cycle row errorand sharp constant oneNative independence realizations of finite forestsNative independencerealizations of finite forests
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/SpectralGraph/ScalarCycleRowError
Repository path
D5/S3/Combinatorics/SpectralGraph/ScalarCycleRowError.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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