Lax Lean Archive

Version history

Submission versions

  1. lax-222097current version

    Max Independent Set Remains NP-hard when Excluding a Planar Induced Minor

    Created Lean v4.33.0mathlib db584cd6d46c92f209a44c0f1c829460d327499d
    GitHub sourceOpen version
  2. lax-762056viewing

    Max Independent Set Remains NP-hard when Excluding a Planar Induced Minor

    Created Lean v4.33.0mathlib db584cd6d46c92f209a44c0f1c829460d327499d
    GitHub sourceShown on this page

Proof of `Asteroidal cycle triples obstruct induced minors` (1st statement)

groundedproofs/Lax762056Proofs/Obstruction.lean · lax-762056

What this proof establishes

no assumptions

lem✓Lax762056.CycleObstruction (1st statement)

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

In the paper

  • page 5 of this submission's paper

Description

Each cycle's branch sets contain opposite sides of a column. The three columns are distinct. The middle column is contained in the middle cycle's closed neighborhood and separates the other two cycles, contradicting their avoiding path.