منابع مشابه
Revolutionaries and Spies
Let G = (V,E) be a graph and let r, s, k be natural numbers. “Revolutionaries and Spies”, G(G, r, s, k) , is the following two-player game. The sets of positions for player 1 and player 2 are V r and ∗The research of the first author was supported by BSF grant no. 2006099, and by ISF grants Nos. 779/08, 859/08 and 938/06.
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Pursuit-evasion games, such as the game of Revolutionaries and Spies, are a simplified model for network security. In the game we consider in this paper, a team of r revolutionaries tries to hold an unguarded meeting consisting of m revolutionaries. A team of s spies wants to prevent this forever. For given r and m, the minimum number of spies required to win on a graph G is the spy number σ(G,...
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We study a game on a graph G played by r revolutionaries and s spies. Initially, revolutionaries and then spies occupy vertices. In each subsequent round, each revolutionary may move to a neighboring vertex or not move, and then each spy has the same option. The revolutionaries win if m of them meet at some vertex having no spy (at the end of a round); the spies win if they can avoid this forev...
متن کاملRevolutionaries and spies on trees and unicyclic graphs
A team of r revolutionaries and a team of s spies play a game on a graph G. Initially, revolutionaries and then spies take positions at vertices. In each subsequent round, each revolutionary may move to an adjacent vertex or not move, and then each spy has the same option. The revolutionaries want to hold an unguarded meeting, meaning m revolutionaries at some vertex having no spy at the end of...
متن کاملNarcissists, Stepmothers and Spies
This paper investigates the possibility of adding machinery to description logic which allows one to define self-referential concepts. An example of such a concept is a narcissist, someone who loves himself. With domains in which the natural ontology is a graph instead of a tree, this extra expressive power is often desired (e.g., when writing an ontology about web pages or molecular structures...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2012
ISSN: 0012-365X
DOI: 10.1016/j.disc.2012.08.001