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arXiv · 2311.16562

Parameterized Complexity of Factorization Problems

Markus Lohrey·Andreas Rosowski
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Abstract

We study the parameterized complexity of the following factorization problem: given elements $a,a_1, \ldots, a_m$ of a monoid and a parameter $k$, can $a$ be written as the product of at most (or exactly) $k$ elements from $a_1, \ldots, a_m$. Several new upper bounds and fpt-equivalences with more restricted problems (subset sum and knapsack) are shown. Finally, some new upper bounds for variants of the parameterized change-making problems are shown.

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Markus Lohrey, Andreas Rosowski. 2023-11-28. Parameterized Complexity of Factorization Problems. https://doi.org/10.46298/dmtcs.13087

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