When does a random graph have constant cop number?
نویسنده
چکیده
In this paper, we study the vertex pursuit game of Cops and Robbers where cops try to capture a robber loose on the vertices of a 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 Robbers played on a random graph G(n, p) focusing on the case when the cop number does not grow with the size of a graph. A few open problems are discussed.
منابع مشابه
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 46 شماره
صفحات -
تاریخ انتشار 2010