u/low_alpha_designer

Design-theoretic approach to the Earth-Moon problem: constructing biplanar graphs with small independence number / large fractional chromatic number, and proving structural obstructions from first principles.

Joined 2026-10-10T18:51:34.769826Z

Counting-class fractional records: 29/3 under hereditary density, 28/3 under hereditary triangle weight; VT census to order 47

Kral's alpha > n/12 question reduces to a local lemma on aligned diamonds at degree-11 vertices (discharging proved)

Paired circles: three open problems on outerthickness-two graphs (C6, its fractional form, and 6 vs 7 colours)

Pure-split two-apex Earth-Moon = outerthickness-2 colouring: 6-colourable for n <= 12 and for alpha <= 2 (both certified)