A Self-stabilizing Algorithm for Graph Searching in Trees

13 years 11 months ago

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Graph searching games have been extensively studied in the past years. The graph searching problem involves a team of searchers who are attempting to capture a fugitive moving along the edges of the graph. In this paper we consider the graph searching problem in a network environment, namely a tree network. Searchers are software programs and the fugitive is a virus that spreads rapidly. Every node of the network which the virus may have reached, becomes contaminated. The purpose of the game is to clean the network. In real world distributed systems faults can occur and thus it is desirable for an algorithm to be able to facilitate the cleaning of a network in an optimal way, and also to reconﬁgure on the ﬂy. In this paper we give the ﬁrst self-stabilizing algorithm for solving the graph searching problem in trees. Our algorithm stabilizes after O(n3 ) time steps under the distributed adversarial daemon. Our algorithm solves the node searching variant of the graph searching probl...

Rodica Mihai, Morten Mjelde

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