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- W73795681 abstract "We consider two combinatorial statistics on permutations. One is the genus. The other, $$widehat{{text{des}}}$$ , is defined for alternating permutations, as the sum of the number of descents in the subwords formed by the peaks and the valleys. We investigate the distribution of $$widehat{{text{des}}}$$ on genus zero permutations and Baxter permutations. Our q-enumerative results relate the $$widehat{{text{des}}}$$ statistic to lattice path enumeration, the rank generating function and characteristic polynomial of noncrossing partition lattices, and polytopes obtained as face-figures of the associahedron." @default.
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- W73795681 doi "https://doi.org/10.1023/a:1008689811936" @default.
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