arXiv (All)
open access
Beyond halfway to Hadwiger's conjecture
Hadwiger conjectured in 1943 that every graph with no $K_t$ minor has chromatic number at most $t-1$. Delcourt and Postle proved that every graph with no $K_t$ minor has chromatic number $O(t\log\log t)$. We build on their result to improve this bound to $O(t\log\log\log t)$.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Improved upper bounds on the list chromatic number of $K_t$-minor-free graphs#1157217
- Explicit and logarithmically improved chromatic bounds for $(P_2\cup P_3)$-free graphs#987759
- Degeneracy bounds, stability, and a sharp gap for $B$-colorings#924967
- Degeneracy bounds, stability, and a sharp gap for $B$-colorings#920733
- Generalized Zykov's Theorem#1082998
Record · ID 987876
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive