Cop-Number

Python package Cop-number: Checks whether the cop number of a NetworkX graph is greater than k. This is a python implementation of the algorithm described in The Game of Cops and Robbers on Graphs by Anthony Bonato to solve k-FIXED COP NUMBER. The time complexity of the algorithm is O(n^{3k + 3}). This implementation is very slow for k greater than about 5 for even moderately sized graphs with 30 - 40 vertices. Currently, input graphs are treated as reflexive. If they are not reflexive, then self edges are added.

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References in zbMATH (referenced in 2 articles )

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  1. Turcotte, Jérémie: Cops and robbers on (2K_2)-free graphs (2022)
  2. Turcotte, Jérémie; Yvon, Samuel: 4-cop-win graphs have at least 19 vertices (2021)