Open Research Index

Three Sharp Bounds for Hansen Polytopes of Cographs

Jeremy P Parker

Palomar Registrypalomar/PALOMAR-2026-08-24-000004Sep 10, 2026math.MGscore 0

A Lean 4/Mathlib formalisation of three sharp lower bounds for Hansen polytopes of finite nonempty cographs: normalized Mahler volume at least one, at least 3^d nonempty faces, and at least 2^d d! full flags in dimension d. In each result equality holds exactly for threshold graphs.

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