Fractionally Log-Concave and Sector-Stable Polynomials: Counting Planar Matchings and More

We show fully polynomial time randomized approximation schemes (FPRAS) for counting matchings of a given size, or more generally sampling/counting monomer-dimer systems in planar, not-necessarily-bipartite, graphs. While perfect matchings on planar graphs can be counted exactly in polynomial time, c...

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Hauptverfasser: Alimohammadi, Yeganeh, Anari, Nima, Shiragur, Kirankumar, Vuong, Thuy-Duong
Format: Artikel
Sprache:eng
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