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Counting unlabeled acyclic digraphs

  • R. W. Robinson
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 622)

Abstract

The previously known ways to count acyclic digraphs, both labeled and unlabeled, are reviewed. Then a new method of enumerating unlabeled acyclic digraphs is developed. It involves computing the sum of the cyclic indices of the automorphism groups of the acyclic digraphs, achieving a considerable gain in efficiency through an application of the inclusion-exclusion principle. Numerical results are reported on, and a table of the numbers of unlabeled acyclic digraphs on up to 18 points is included.

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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • R. W. Robinson

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