frontiers / frontier

Erdős problems frontier

id: vfr_37aec80d874a0239
license: CC-BY-4.0
findings: 1,256
accepted core: 6
contested: 0
links: 17
sources: 1,234
evidence: 1,256
avg conf: 0.98

used by 0 · replayed by 2 producers

e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null

Source record

back to sources

Alweiss, Lovett, Wu, Zhang 2020, STOC

id: vs_a739c339383c5ff6
frontier: Erdős problems frontier
year: 2020
type: paper

source boundary

frontier-owned

declared

finding bindings

record context

1 findings

evidence atoms

materialized

1 atoms

review context

inspectable

1 events

1 reviewable changes and 0 evaluations are attached through this source or its findings.

citation

locator

title:Alweiss, Lovett, Wu, Zhang 2020, STOC

imported

2026-05-10T19:27:57.691379+00:00

extraction mode

manual_curation

authors

agent:vela-curation-bot

caveats

No caveats recorded.

Bound findings

Sunflower lemma improvement (Erdos-Ko 1960 conjecture; Alweiss-Lovett-Wu-Zhang 2020 partial resolution): every family of k-element sets of size at least (C log k)^k contains a sunflower of size r, where the bound (k!)^r in the original Erdos-Ko 1960 lemma improves dramatically. Original conjecture open at the C^k bound.
theoretical · vf_2bd0397eda13ccde

Evidence atoms

vea_ba8140bcf326227btheoretical · unknown
Sunflower lemma improvement (Erdos-Ko 1960 conjecture; Alweiss-Lovett-Wu-Zhang 2020 partial resolution): every family of k-element sets of size at least (C log k)^k contains a sunflower of size r, where the bound (k!)^r in the original Erdos-Ko 1960 lemma improves dramatically. Original conjecture open at the C^k bound.

Review, event, and evaluation records

events

vev_ed698acded698ceffinding.asserted
Manual finding added to frontier state
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_1d979c929dbd4a03finding.add
Manual finding added to frontier state
applied · agent:vela-curation-bot · 2026-05-10

evaluations

No evaluation rows are attached.