Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 114-02. Approximate counting of common bases of two matroids
Manuscript map · lines 4685–4694
OpenAI@2026-10-07#rem:oai-p-114-02
Authors: OpenAI. Family 114.
Title: Approximate counting of common bases of two matroids.
Abstract: We give a fully polynomial randomized approximation scheme for counting the common bases of two arbitrary matroids of the same rank, supplied by independence oracles. The algorithm requires no explicit representation of either matroid and has polynomial bounds on both oracle calls and bit operations on every execution.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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