Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646803 | Discrete Mathematics | 2016 | 9 Pages |
Abstract
We consider a game in which a cop searches for a moving robber on a graph using distance probes, studied by Carragher, Choi, Delcourt, Erickson and West, which is a slight variation on one introduced by Seager. Carragher et al. show that for any fixed graph G there is a winning strategy for the cop on the graph G1/m obtained by replacing each edge of G by a path of length m, if m is sufficiently large. They conjecture that the cop does not have a winning strategy on Kn1/m if m
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
John Haslegrave, Richard A.B. Johnson, Sebastian Koch,