Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2015, Issue 2, Pages 61–76 (Mi vspui243)  
This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics

Optimal strategies in the game of patrol on a graph

V. V. Gusev, V. V. Mazalov

Institute of Applied Mathematical Research of the Karelian Research Centre RAS, 11, Pushkinskaya street, Petrozavodsk, 185000, Russian Federation
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Abstract: We consider the game-theoretic model of patrolling on a graph in which an attacker has $m$ time units to attack a node of the graph and the strategy of patroller is a selection of a path in the graph. The equilibrium in the zero-sum game and the mean length of the patrolling path are derived for different graphs. Bibliogr. 7. Il. 1. Table 13.
Keywords: search game, graph, patrol, attacker, optimal strategies.
Received: February 17, 2015
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: V. V. Gusev, V. V. Mazalov, “Optimal strategies in the game of patrol on a graph”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2015, no. 2, 61–76
Citation in format AMSBIB
\Bibitem{GusMaz15}
\by V.~V.~Gusev, V.~V.~Mazalov
\paper Optimal strategies in the game of patrol on a graph
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2015
\issue 2
\pages 61--76
\mathnet{http://mi.mathnet.ru/vspui243}
\elib{https://elibrary.ru/item.asp?id=23719525}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Abstract page:523
    Full-text PDF :43
    References:37
    First page:26
     
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