Edge protection in graphs
نویسندگان
چکیده
We use mobile guards on the vertices of a graph to defend it against an infinite sequence of attacks on its edges. A guard on an incident vertex moves across the attacked edge to defend it; other guards may also move to neighboring vertices. We prove upper and lower bounds on the minimum number of guards needed for this eternal vertex cover problem and characterize the graphs for which the upper bound is sharp.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 45 شماره
صفحات -
تاریخ انتشار 2009