English

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

Discrete Mathematics 2022-11-11 v1

Abstract

Fishburn developed an algorithm to solve a system of mm difference constraints whose nn unknowns must take values from a set with kk 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)O(n+km) time.

Keywords

Cite

@article{arxiv.2211.05259,
  title  = {Complexity of solving a system of difference constraints with variables restricted to a finite set},
  author = {Santiago Cifuentes and Francisco J. Soulignac and Pablo Terlisky},
  journal= {arXiv preprint arXiv:2211.05259},
  year   = {2022}
}

Comments

4 pages