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- W3173940820 abstract "One may generalize integer compositions by replacing the positive integers with a different additive semigroup, giving the broader concept of a “composition over a semigroup”. Here we focus on semigroups which are finite groups and achieve asymptotic enumeration of compositions over a finite group which satisfy a local restriction. These compositions are associated to walks on a voltage graph whose structure is exploited to simplify asymptotic expressions. Specifically, we show that under mild conditions the number of locally restricted compositions of a group element is asymptotically independent of the particular group element. We apply this result to subword pattern avoidance and other examples such as generalized Carlitz compositions." @default.
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- W3173940820 date "2021-10-01" @default.
- W3173940820 modified "2023-09-25" @default.
- W3173940820 title "Locally restricted compositions over a finite group" @default.
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- W3173940820 doi "https://doi.org/10.1016/j.ejc.2021.103386" @default.
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