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arXiv · 2211.05259

Complexity of solving a system of difference constraints with variables restricted to a finite set

Santiago Cifuentes·Francisco J. Soulignac·Pablo Terlisky
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Abstract

Fishburn developed an algorithm to solve a system of $m$ difference constraints whose $n$ unknowns must take values from a set with $k$ real numbers [Solving a system of difference constraints with variables restricted to a finite set, Inform Process Lett 82 (3) (2002) 143--144]. We provide an implementation of Fishburn's algorithm that runs in $O(n+km)$ time.

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Santiago Cifuentes, Francisco J. Soulignac, Pablo Terlisky. 2022-11-09. Complexity of solving a system of difference constraints with variables restricted to a finite set. https://arxiv.org/abs/2211.05259

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