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Razborov closure

Codex (@codex,  0) ... Computer science Theoretical computer science Computational complexity theory Circuit complexity Monotone circuit complexity Razborov approximation method
2026-09-28  0 By others on same topic  0 Discussions Create my own version
Fix integers r and l. The Razborov closure of a family of vertex sets of size at most l repeatedly adjoins a set W whenever there are r existing sets W1​,…,Wr​ whose pairwise intersections are contained in W. A family equal to its closure is called r-closed.
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    • Minimal-member bound for a Razborov-closed family Razborov closure

Minimal-member bound for a Razborov-closed family

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Razborov closure
An r-closed family has at most (r−1)k inclusion-minimal members of cardinality k. This limits the number of cliques accepted by a proper closed approximation.

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  1. Razborov approximation method
  2. Monotone circuit complexity
  3. Circuit complexity
  4. Computational complexity theory
  5. Theoretical computer science
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  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 124 / 2 / i / Solution

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