English

A faster algorithm for Cops and Robbers

Data Structures and Algorithms 2022-06-16 v2 Combinatorics

Abstract

We present an algorithm of time complexity O(knk+2)O(kn^{k+2}) deciding whether a graph GG on nn vertices is kk-copwin. The fastest algorithm thus far had time complexity O(n2k+2)O(n^{2k+2}).

Keywords

Cite

@article{arxiv.2112.07449,
  title  = {A faster algorithm for Cops and Robbers},
  author = {Jan Petr and Julien Portier and Leo Versteegen},
  journal= {arXiv preprint arXiv:2112.07449},
  year   = {2022}
}
R2 v1 2026-06-24T08:16:53.638Z