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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. Steve Alpern, 2011. "Find-and-Fetch Search on a Tree," Operations Research, INFORMS, vol. 59(5), pages 1258-1268, October.
    2. Francis Bloch & Bhaskar Dutta & Marcin Dziubi´nski, 2024. "Strategic hiding and exploration in networks," Working Papers 112, Ashoka University, Department of Economics.
    3. Lidbetter, Thomas, 2020. "Search and rescue in the face of uncertain threats," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1153-1160.
    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. 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.
    6. 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.
    7. 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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