Title
Lazy Cops and Robbers on Hypercubes
Document Type
Article
Date of Original Version
1-1-2015
Abstract
We consider a variant of the game of Cops and Robbers, called Lazy Cops and Robbers, where at most one cop can move in any round. We investigate the analogue of the cop number for this game, which we call the lazy cop number. Lazy Cops and Robbers was recently introduced by Offner and Ojakian, who provided asymptotic upper and lower bounds on the lazy cop number of the hypercube. By coupling the probabilistic method with a potential function argument, we improve on the existing lower bounds for the lazy cop number of hypercubes.
Publication Title, e.g., Journal
Combinatorics Probability and Computing
Volume
24
Issue
6
Citation/Publisher Attribution
Bal, Deepak, Anthony Bonato, William B. Kinnersley, and PaweŁ PraŁat. "Lazy Cops and Robbers on Hypercubes." Combinatorics Probability and Computing 24, 6 (2015): 829-837. doi: 10.1017/S0963548314000807.