Note on a Helicopter Search Problem on Graphs

We consider a search game on a graph in which one cop in a helicopter flying from vertex to vertex tries to catch the invisible robber. The existence of the winning program for the cop in this problem depends only on the robber's speed. We investigate the problem of finding the minimal robber's speed which prevents the cop from winning. For this parameter we give tight bounds in terms of the linkage and the pathwidth of a graph. Key words: Searching a graph, pathwidth, linkage.

• Type: Journal
• Year: 1999
• Where: DAM
• Authors: Fedor V. Fomin
• Keywords: DAM 1999, Invisible Robber, Minimal Robber, Search Game