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- W3197357340 abstract "This paper studies a generalization of parking functions named $k$-Naples parking functions, where backward movement is allowed. One consequence of backward movement is that the number of ascending $k$-Naples is not the same as the number of descending $k$-Naples. This paper focuses on generalizing the bijections of ascending parking functions with combinatorial objects enumerated by the Catalan numbers in the setting of both ascending and descending $k$-Naples parking functions. These combinatorial objects include Dyck paths, binary trees, triangulations of polygons, and non-crossing partitions. Using these bijections, we enumerate both ascending and descending $k$-Naples parking functions." @default.
- W3197357340 created "2021-09-13" @default.
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- W3197357340 date "2021-09-03" @default.
- W3197357340 modified "2023-09-26" @default.
- W3197357340 title "Enumerating $k$-Naples Parking Functions Through Catalan Objects" @default.
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