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- W1541113359 abstract "In this paper, let $mathcal{P}_{n;leq s;k}^l$ denote a set of $k$-flaw preference sets $(a_1,...,a_n)$ with $n$ parking spaces satisfying that $1leq a_ileq s$ for any $i$ and $a_1=l$ and $p_{n;leq s;k}^l=|mathcal{P}_{n;leq s;k}^l|$. We use a combinatorial approach to the enumeration of $k$-flaw preference sets by their leading terms. The approach relies on bijections between the $k$-flaw preference sets and labeled rooted forests. Some bijective results between certain sets of $k$-flaw preference sets of distinct leading terms are also given. We derive some formulas and recurrence relations for the sequences $p_{n;leq s;k}^l$ and give the generating functions for these sequences." @default.
- W1541113359 created "2016-06-24" @default.
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- W1541113359 date "2008-06-02" @default.
- W1541113359 modified "2023-09-27" @default.
- W1541113359 title "k-flaw Preference Sets" @default.
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