Theoretical Computer Science
The complexity of searching a graph
Journal of the ACM (JACM)
AAIM '08 Proceedings of the 4th international conference on Algorithmic Aspects in Information and Management
Fast edge-searching and related problems
COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part II
Fast edge searching and fast searching on graphs
Theoretical Computer Science
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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 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.