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

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

Evidence atom

back to sources

Erdos minimum-overlap problem (1955, partial bounds known): given a partition of {1,...,2n} into A and B with |A|=|B|=n, the minimum over all partitions of max_k |{(a,b) in A x B : b - a = k}| is between c1*n and c2*n with the constants improved iteratively.

id
vea_69e9c845a52258b6
frontier
Erdős problems frontier
source
vs_5be2183c0d93c56b
finding
vf_5f91b9804d33b469

evidence boundary

unknown

theoretical

finding binding

bound

theoretical

Erdos minimum-overlap problem (1955, partial bounds known): given a partition of {1,...,2n} into A and B with |A|=|B|=n, the minimum over all partitions of max_k |{(a,b) in A x B : b - a = k}| is between c1*n and c2*n with the constants improved iteratively.

source binding

source-bound

Erdos 1955 problem; later improvements by Swinnerton-Dyer 1959 and others

vs_5be2183c0d93c56b

review context

unverified

1 events

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

statement

Erdos minimum-overlap problem (1955, partial bounds known): given a partition of {1,...,2n} into A and B with |A|=|B|=n, the minimum over all partitions of max_k |{(a,b) in A x B : b - a = k}| is between c1*n and c2*n with the constants improved iteratively.

extraction method

manual_curation

support relation

unknown

condition refs

vcnd_45e773ec8a747348

caveats

  • missing evidence locator

Review, event, and evaluation records

2

events

  • vev_caa42b2a7710d4aefinding.asserted

    Manual finding added to frontier state

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

reviewable changes

  • vpr_06bf00db6ea83cf0finding.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.

finding.noted · reviewer:will-blair · 2 days

renders the record as of vev_d199cb2e · 1,338 events · hub

Search Vela

Jump to a section, signal, campaign, document, primitive, work path, frontier, record index, atlas, constellation, agent, capability, or full-state search.