English

Capture times in the Bridge-burning Cops and Robbers game

Combinatorics 2020-11-21 v1 Discrete Mathematics

Abstract

In this paper, we consider a variant of the cops and robbers game on a graph, introduced by Kinnersley and Peterson, in which every time the robber uses an edge, it is removed from the graph, known as bridge-burning cops and robbers. In particular, we study the maximum time it takes the cops to capture the robber.

Keywords

Cite

@article{arxiv.2011.00317,
  title  = {Capture times in the Bridge-burning Cops and Robbers game},
  author = {Rebekah Herrman and Peter van Hintum and Stephen G. Z. Smith},
  journal= {arXiv preprint arXiv:2011.00317},
  year   = {2020}
}

Comments

16 pages, 3 figures