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- W2065225775 abstract "We show that maximal 0–1-fillings of moon polynomials with restricted chain lengths can be identified with certain rc-graphs, also known as pipe dreams. In particular, this exhibits a connection between maximal 0–1-fillings of Ferrers shapes and Schubert polynomials. Moreover, it entails a bijective proof showing that the number of maximal fillings of a stack polyomino S with no north-east chains longer than k depends only on k and the multiset of column heights of S . Our main contribution is a slightly stronger theorem, which in turn leads us to conjecture that the poset of rc-graphs with covering relation given by generalised chute moves is in fact a lattice." @default.
- W2065225775 created "2016-06-24" @default.
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- W2065225775 date "2012-02-01" @default.
- W2065225775 modified "2023-10-17" @default.
- W2065225775 title "Maximal 0–1-fillings of moon polyominoes with restricted chain lengths and rc-graphs" @default.
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- W2065225775 doi "https://doi.org/10.1016/j.aam.2011.05.005" @default.
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