Chasing robbers on random graphs: Zigzag theorem
نویسندگان
چکیده
In this paper, we study the vertex pursuit game of Cops and Robbers where cops try to capture a robber on the vertices of the graph. The minimum number of cops required to win on a given graph G is the cop number of G. We present asymptotic results for the game of Cops and Robber played on a random graph G(n, p) for a wide range of p = p(n). It has been shown that the cop number as a function of an average degree forms an intriguing zigzag shape.
منابع مشابه
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ورودعنوان ژورنال:
- Random Struct. Algorithms
دوره 37 شماره
صفحات -
تاریخ انتشار 2010