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- W4301818939 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.
- W4301818939 created "2022-10-05" @default.
- W4301818939 creator A5039874961 @default.
- W4301818939 date "2010-09-20" @default.
- W4301818939 modified "2023-10-18" @default.
- W4301818939 title "Maximal 0-1 fillings of moon polyominoes with restricted chain-lengths and rc-graphs" @default.
- W4301818939 doi "https://doi.org/10.48550/arxiv.1009.3919" @default.
- W4301818939 hasPublicationYear "2010" @default.
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