On the optimality of a simple strategy for searching graphs

Shmuel Gal

doi:10.1007/s001820000056

On the optimality of a simple strategy for searching graphs

Shmuel Gal

Department of Statistics

Research output: Contribution to journal › Article › peer-review

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).

Original language	English
Pages (from-to)	533-542
Number of pages	10
Journal	International Journal of Game Theory
Volume	29
Issue number	4
DOIs	https://doi.org/10.1007/s001820000056
State	Published - Dec 2000

Keywords

Chinese postman tour
Search game
Weakly Eulerian graph
Weakly cyclic graph

ASJC Scopus subject areas

Statistics and Probability
Mathematics (miscellaneous)
Social Sciences (miscellaneous)
Economics and Econometrics
Statistics, Probability and Uncertainty

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10.1007/s001820000056

Cite this

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AB - 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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KW - Weakly cyclic graph

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On the optimality of a simple strategy for searching graphs

Abstract

Keywords

ASJC Scopus subject areas

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