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Average-Case Complexity of Shortest-Paths Problems in the Vertex-Potential Model

By Colin Cooper, Alan Frieze, Kurt Mehlhorn and Volker Priebe


We study the average-case complexity of shortest-paths problems in the vertex-potential model. The vertex-potential model is a family of probability distributions on complete directed graphs with arbitrary real edge lengths but without negative cycles. We show that on a graph with n vertices and with respect to this model, the single-source shortest-paths problem can be solved in O(n²) expected time, and the all-pairs shortest-paths problem can be solved in O(n² log n) expected time

Publisher: Springer-Verlag
Year: 2000
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
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