Autor:	Komarov, Natasha, Winkler, Peter
Rok vydání:	2013
Předmět:	Mathematics - Combinatorics Computer Science - Discrete Mathematics
Druh dokumentu:	Working Paper
Popis:	We consider a variation of cop vs.\ robber on graph in which the robber is not restricted by the graph edges; instead, he picks a time-independent probability distribution on $V(G)$ and moves according to this fixed distribution. The cop moves from vertex to adjacent vertex with the goal of minimizing expected capture time. Players move simultaneously. We show that when the gambler's distribution is known, the expected capture time (with best play) on any connected $n$-vertex graph is exactly $n$. We also give bounds on the (generally greater) expected capture time when the gambler's distribution is unknown to the cop. Comment: 6 pages, 0 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1308.4715 Zobrazit plný text záznamu View this record from Arxiv