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Published byColleen Blan Modified over 2 years ago

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On the number of matroids Nikhil Bansal (TU Eindhoven) Rudi Pendavingh (TU Eindhoven) Jorn van der Pol (TU Eindhoven)

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Matroids

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Narrowing the gap m(n) Better bound

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Known results

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Our Result

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Outline Knuth’s lower bound construction Counting stable sets The final upper bound

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Knuth’s Lower bound

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Knuth’s bound

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Rest of the talk

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Bounding s(n)

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Better Bound

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Our Result

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Rest of the talk Encoding for independent sets. Encoding for Matroids.

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A useful lemma A

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Encoding a stable set S G I A

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Phases: d 1 2 d-1 …

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Encoding Matroids

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Finish up

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Questions

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Thank You

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Narrowing the gap

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Encoding Matroids

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Finish up

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Knuth’s Lower bound B B B’

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