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• W2952942893 abstract "The classical Frobenius problem is to compute the largest number g not representable as a non-negative integer linear combination of non-negative integers x_1, x_2, ..., x_k, where gcd(x_1, x_2, ..., x_k) = 1. In this paper we consider generalizations of the Frobenius problem to the noncommutative setting of a free monoid. Unlike the commutative case, where the bound on g is quadratic, we are able to show exponential or subexponential behavior for an analogue of g, depending on the particular measure chosen." @default.
• W2952942893 created "2019-06-27" @default.
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• W2952942893 date "2007-08-23" @default.
• W2952942893 modified "2023-09-27" @default.
• W2952942893 title "The Frobenius Problem in a Free Monoid" @default.
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