On the optimality of a simple strategy for searching graphs

On the optimality of a simple strategy for searching graphs

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Article ID: iaor20021354
Country: Germany
Volume: 29
Issue: 4
Start Page Number: 533
End Page Number: 542
Publication Date: Jan 2000
Journal: International Journal of Game Theory
Authors:
Keywords: graphs, search
Abstract:

Consider a search game with an immobile hider in a graph. A Chinese postman tour is a closed trajectory which visits all the points of the graph and has minimal length. We show that encircling the Chinese postman tour in a random direction is an optimal search strategy if and only if the graph is weakly Eulerian (i.e. it consists of several Eulerian curves connected in a tree-like structure).

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