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- W1496772266 abstract "In this paper, we consider matchings avoiding partial patterns $1123$ and $1132$. We give a bijection between $1123$-avoiding matchings with $n$ edges and nonnegative lattice paths from $(0,2)$ to $(2n,0)$. As a consequence, the refined enumeration of $1123$-avoiding matchings can be reduced to the enumeration of certain lattice paths. Another result of this paper is a bijection between $1132$-avoiding matchings with $n$ edges and lattice paths from $(0,0)$ to $(2n,0)$ starting with an up step, which may go under the $x$-axis." @default.
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- W1496772266 date "2006-10-19" @default.
- W1496772266 modified "2023-10-18" @default.
- W1496772266 title "Matchings Avoiding Partial Patterns and Lattice Paths" @default.
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- W1496772266 doi "https://doi.org/10.37236/1115" @default.
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