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On the optimality of a simple strategy for searching graphs

Author

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  • Shmuel Gal

    (The University of Haifa, Haifa 31905, Israel)

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).

Suggested Citation

  • Shmuel Gal, 2001. "On the optimality of a simple strategy for searching graphs," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 533-542.
    • Handle: RePEc:spr:jogath:v:29:y:2001:i:4:p:533-542
    Note: Received: December 1999/Revised version: September 2000
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    Citations

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    Cited by:

    1. Lidbetter, Thomas, 2020. "Search and rescue in the face of uncertain threats," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1153-1160.
    2. Lidbetter, Thomas, 2013. "Search games with multiple hidden objects," LSE Research Online Documents on Economics 55103, London School of Economics and Political Science, LSE Library.
    3. Steve Alpern, 2011. "Find-and-Fetch Search on a Tree," Operations Research, INFORMS, vol. 59(5), pages 1258-1268, October.
    4. Garrec, Tristan & Scarsini, Marco, 2020. "Search for an immobile hider on a stochastic network," European Journal of Operational Research, Elsevier, vol. 283(2), pages 783-794.
    5. Jotshi, Arun & Batta, Rajan, 2008. "Search for an immobile entity on a network," European Journal of Operational Research, Elsevier, vol. 191(2), pages 347-359, December.
    6. Lidbetter, Thomas, 2017. "On the approximation ratio of the Random Chinese Postman Tour for network search," European Journal of Operational Research, Elsevier, vol. 263(3), pages 782-788.

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