Proof of `Deterministic undirected uniform flow–cut algorithm`

groundedproofs/Lax455465Proofs/ProductCorollaries.lean · lax-455465

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

The undirected uniform algorithm is the product algorithm on all-one weights.

Proof strategy

Every vertex belongs to the demand support, so its size is the input order. Use the undirected product guarantee and rewrite its logarithmic factor.