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Standard directed search strategies and their applications

Author

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  • Boting Yang

    (University of Regina)

  • Yi Cao

    (University of Regina)

Abstract

Given a digraph that contains an intruder hiding on vertices or along edges, a directed searching problem is to find the minimum number of searchers required to capture the intruder. In this paper, we propose the standard directed search strategies, which can simplify arguments in proving search numbers, lower bounds, and relationships between search models. Using these strategies, we characterize k-directed-searchable graphs when k≤3. We also use standard directed search strategies to investigate the searching problems on oriented grids. We give tight lower and upper bounds for the directed search number of general oriented grids. Finally, we show how to compute the directed search number of a Manhattan grid.

Suggested Citation

  • Boting Yang & Yi Cao, 2009. "Standard directed search strategies and their applications," Journal of Combinatorial Optimization, Springer, vol. 17(4), pages 378-399, May.
    • Handle: RePEc:spr:jcomop:v:17:y:2009:i:4:d:10.1007_s10878-007-9121-1
    DOI: 10.1007/s10878-007-9121-1
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