Article ID Journal Published Year Pages File Type
431380 Journal of Discrete Algorithms 2006 21 Pages PDF
Abstract

We present a symbolic OBDD algorithm for topological sorting which requires O(log2|V|)O(log2|V|) OBDD operations. Then we analyze its true runtime for the directed grid graph and show an upper bound of O(log4|V|⋅loglog|V|)O(log4|V|⋅loglog|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.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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