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- W2169779684 abstract "One of the main problems in graph theory is the question of graph connectivity. Graph connectivity often arises in problems related to network reliability. Graph connectivity can be studied from two different aspects, namely, vertex-connectivity and edge-connectivity. Vertex connectivity is the smallest number of vertices whose deletion will cause a connected graph to be disconnected. The focus of this work is on finding separation pairs of a graph which is the set of pairs of vertices that deleting them would disconnect a graph. Finding separation pairs can be used in solving the problem of vertex-connectivity and finding the triconnected components of the graph. There have been different algorithms presented during the past which are non-linear or if linear, very complicated. This work is based on the work of Tarjan and Hopcroft which finds the separation pairs in linear time, that is achieved by the use of Depth-First Search (DFS). Our goal is to present an algorithm that finds the separation pairs in an asynchronous distributed computer network using distributed Depth-First search (DDFS)." @default.
- W2169779684 created "2016-06-24" @default.
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- W2169779684 date "2009-01-01" @default.
- W2169779684 modified "2023-09-27" @default.
- W2169779684 title "A Distributed Algorithm for Finding Separation Pairs in a Computer Network" @default.
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