Papers › Tabulation of Noncrossing Acyclic Digraphs
Tabulation of Noncrossing Acyclic Digraphs
Marco Kuhlmann
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I present an algorithm that, given a number n ≥1, computes a compact representation of the set of all noncrossing acyclic digraphs with n nodes. This compact representation can be used as the basis for a wide range of dynamic programming algorithms on these graphs. As an illustration, along with this note I am releasing the implementation of an algorithm for counting the number of noncrossing acyclic digraphs of a given size. The same tabulation can be modified to count other classes of combinatorial structures, including weakly connected noncrossing acyclic digraphs, general noncrossing digraphs, noncrossing undirected graphs.
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