Open Research Index

md-lean: exact height span, dart mass, and adjugate scaling for Mazur's greedy construction

JD Jones

Palomar Registrypalomar/PALOMAR-2026-09-14-000001Sep 14, 2026math.COscore 0

Exact height-span of Mazur's scheme grammar, a local dart-mass bound, and an adjugate identity for the Dirichlet matrix of that construction; not a proof of the strong Papadimitriou–Ratajczak conjecture and not a theorem that every 3-connected plane graph attains the scheme maximum. Mazur builds injective integer heights by inductive recurrences on rooted pieces (edge, cycle, binary series, two-range join) and then forms a weighted Dirichlet matrix for the horizontal coordinate; the paper does not bound the height span or the bit length of the coordinates. For a well-formed scheme on n >= 2…

SourceRepositoryJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/palomar/PALOMAR-2026-09-14-000001
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-14-000001/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-14-000001/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'