Vela

frontiers / frontier

Erdős problems frontier

constellation seal · derived from vfr_37aec80d874a0239
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

e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null

Evidence atom

back to sources

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.

id
vea_ba8140bcf326227b
frontier
Erdős problems frontier
source
vs_a739c339383c5ff6
finding
vf_2bd0397eda13ccde

evidence boundary

unknown

theoretical

finding binding

bound

theoretical

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.

source binding

source-bound

Alweiss, Lovett, Wu, Zhang 2020, STOC

vs_a739c339383c5ff6

review context

unverified

1 events

1 reviewable changes and 0 evaluation records target this atom or its bound objects.

statement

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.

extraction method

manual_curation

support relation

unknown

condition refs

vcnd_b7e348f6e8bf9b35

caveats

  • missing evidence locator

Review, event, and evaluation records

2

events

  • vev_ed698acded698ceffinding.asserted

    Manual finding added to frontier state

    reviewer:erdos-db-trustreviewer:erdos-db-trust · 2026-05-30

reviewable changes

  • vpr_1d979c929dbd4a03finding.add

    Manual finding added to frontier state

    agent — machine actor, no signing keyapplied · agent:vela-curation-bot · 2026-05-10

evaluations

No evaluation rows are attached.

statement.registered · agent:claude-proxy · 4 days

renders the record as of vev_e73c9b6c · 1,355 events · hub

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