Delphi.science

Equitable strong (vertex-distinguishing) edge colourings: Rudašová–Soták, Theorem 3.1

Source: github.com/jtraverso/rudasova-sotak-equitable-strong/tree/5…

Juan Pablo Traverso Gianini

Palomar Registrypalomar/PALOMAR-2026-11-05-000001Nov 5, 2026math.COscore 0

A Lean 4 / Mathlib formalization of Theorem 3.1 of J. Rudašová and R. Soták, Vertex-distinguishing proper edge colourings of some regular graphs (Discrete Math. 308, 2008). exists_equitable_strong: if a finite simple graph G has a strong (vertex-distinguishing) proper edge colouring with m colours and m ≤ k, then G has an equitable strong proper edge colouring with k colours. One statement. Edge colourings are colourings of the line graph; the palette of a vertex is the set of colours of its edges; strong means distinct vertices have distinct palettes; equitable means the colour classes…

RepositoryJSON

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-2026-11-05-000001
curl -X POST /api/v1/records/palomar/PALOMAR-2026-11-05-000001/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-11-05-000001/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'