While this submission is a draft, it cannot be used by other submissions.

Proof of `Clique minors from connected matchings`

groundedproofs/Lax342547Proofs/HadwigerMatching/MinorBound.lean · lax-342547

What this proof establishes

no assumptions

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 maximum is attained by an actual clique-minor branch model. This proves the bound for the literal Hadwiger number, including the empty graph.