An Optimal Distributed Edge-Biconnectivity Algorithm

dc.creatorPritchard, David
dc.date2006-02-05
dc.date.accessioned2026-07-07T07:02:28Z
dc.date.available2026-07-07T07:02:28Z
dc.descriptionWe describe a synchronous distributed algorithm which identifies the edge-biconnected components of a connected network. It requires a leader, and uses messages of size O(log |V|). The main idea is to preorder a BFS spanning tree, and then to efficiently compute least common ancestors so as to mark cycle edges. This algorithm takes O(Diam) time and uses O(|E|) messages. Furthermore, we show that no correct singly-initiated edge-biconnectivity algorithm can beat either bound on any graph by more than a constant factor. We also describe a near-optimal local algorithm for edge-biconnectivity.
dc.descriptionSubmitted to PODC 2006. Contains a pstricks figure
dc.identifierhttps://arxiv.org/abs/cs/0602013
dc.identifierhttp://arxiv.org/abs/cs/0602013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108611
dc.subjectDistributed, Parallel, and Cluster Computing
dc.titleAn Optimal Distributed Edge-Biconnectivity Algorithm
dc.typetext

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