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Title: NC Algorithms for Comparability Graphs, Interval Graphs, and Unique Perfect Matchings
Authors: Kozen, Dexter
Vazirani, Umesh V.
Vazirani, Vijay V.
Keywords: computer science
technical report
Issue Date: Dec-1986
Publisher: Cornell University
Abstract: Laszlo Lovasz recently posed the following problem: "Is there an NC algorithm for testing if a given graph has a unique perfect matching?" We present such an algorithm for bipartite graphs. We also give NC algorithms for obtaining a transitive orientation of a comparability graph, and an interval representation of an interval graph. These enable us to obtain an NC algorithm for finding a maximum matching in an incomparability graph.
Appears in Collections:Computer Science Technical Reports

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