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- W2013446610 abstract "A desarrangement is a permutation whose first ascent is even. The first author introduced this class of permutations for the purpose of combinatorially explaining a standard recurrence relation for the number of derangements of n elements. He gave a nice bijection between derangements and desarrangements. Here we extend his bijection to obtain more refined enumeration results relating derangements and desarrangements. In particular, we construct a bijection between descent classes of derangements and descent classes of desarrangements. The following monotonicity result is a consequence of this correspondence: In any (nontrivial) descent class the number of permutations with exactly k fixed points decreases as k increases." @default.
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- W2013446610 date "1993-11-01" @default.
- W2013446610 modified "2023-09-23" @default.
- W2013446610 title "Descent classes of permutations with a given number of fixed points" @default.
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- W2013446610 doi "https://doi.org/10.1016/0097-3165(93)90100-m" @default.
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