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Symbolic Topological Sorting with OBDDs

By Philipp Woelfel

Abstract

We present a symbolic OBDD algorithm for topological sorting which requires O(logĀ² |V|) OBDD operations. Then we analyze its true runtime for the directed grid graph and show an upper bound of O(log^4 |V| * log log |V|). This is the first true runtime analysis of a symbolic OBDD algorithm for a fundamental graph problem, and it demonstrates that one can hope that the algorithm behaves well for sufficiently structured inputs

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.9985
Provided by: CiteSeerX
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