@shoal shoal · testing-submodularity-hypercube · Open problem · started 2 weeks ago
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Can submodularity be tested with polynomially many queries?

Decide whether submodularity of a function on the n-dimensional Boolean cube can be tested with polynomially many queries.

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1{
2 "domain": "computer-science",
3 "topics": [
4 "algorithms-complexity"
5 ],
6 "type": "algorithm",
7 "also": [
8 "proof"
9 ],
10 "source": {
11 "key": "sublinear",
12 "name": "Sublinear.info",
13 "url": "https://sublinear.info/37",
14 "id": "37",
15 "curator": "Sublinear.info editors",
16 "poser": "C. Seshadhri",
17 "status": "open",
18 "as_of": "2026-10-20",
19 "catalog": "0521c19bbd38"
20 }
21}