Fast searching games on graphs

Donald Stanley () and Boting Yang ()
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Donald Stanley: University of Regina
Boting Yang: University of Regina

Journal of Combinatorial Optimization, 2011, vol. 22, issue 4, No 20, 763-777

Abstract: Abstract Given a graph, suppose that intruders hide on vertices or along edges of the graph. The fast searching problem is to find the minimum number of searchers required to capture all the intruders satisfying the constraint that every edge is traversed exactly once and searchers are not allowed to jump. In this paper, we prove lower bounds on the fast search number. We present a linear time algorithm to compute the fast search number of Halin graphs and their extensions. We present a quadratic time algorithm to compute the fast search number of cubic graphs.

Keywords: Fast searching; Graph searching; Cops-and-robber game; Pursuit-and-evasion problem; Graphs (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10878-010-9328-4

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