{"id":"palomar/PALOMAR-2026-08-24-000004","url":"https://github.com/jeremypparker/mahler-hansen-cograph/tree/c7639c5060f40d69b613bcbd637b1750f27b7e3f","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-08-24-000004-v2.json","repo":"https://github.com/jeremypparker/mahler-hansen-cograph","tags":["math.MG","math.CO","msc:52A40","msc:52B05","msc:05C75","convex-geometry","cographs","lean-formalization"],"score":0,"title":"Three Sharp Bounds for Hansen Polytopes of Cographs","trust":"high","domain":"math.MG","source":"palomar","authors":["Jeremy P Parker"],"reviews":0,"subject":"math.MG","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-09-10","reactions":{},"formalized":true}