论文标题

求解具有有限集的变量的差异系统的复杂性

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

论文作者

Cifuentes, Santiago, Soulignac, Francisco J., Terlisky, Pablo

论文摘要

Fishburn开发了一种算法来求解$ M $差异约束的系统,其$ n $未知数必须从具有$ k $实数的集合中获取值[求解一个差异约束系统,其变量仅限于有限的集合,Inform Process 82(3)(2002)(2002)143--144]。我们提供了Fishburn算法的实现,该算法以$ O(N+km)$时间运行。

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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