An anti-incursion algorithm for unknown probabilistic adversaries on connected graphs
نویسنده
چکیده
A gambler moves on the vertices 1, . . . , n of a graph using the probability distribution p1, . . . , pn. A cop pursues the gambler on the graph, only being able to move between adjacent vertices. What is the expected number of moves that the gambler can make until the cop catches them? Komarov and Winkler proved an upper bound of approximately 1.97n for the expected capture time on any connected n-vertex graph when the cop does not know the gambler’s distribution. We improve this upper bound to approximately 1.95n by modifying the cop’s pursuit algorithm.
منابع مشابه
Distributed pursuit algorithms for probabilistic adversaries on connected graphs
A gambler moves between the vertices 1, . . . , n of a graph using the probability distribution p1, . . . , pn. Multiple cops pursue the gambler on the graph, only being able to move between adjacent vertices. We investigate the expected capture time for the gambler against k cops as a function of n and k for three versions of the game: • known gambler: the cops know the gambler’s distribution ...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1701.01599 شماره
صفحات -
تاریخ انتشار 2017