Papers › Polynomial-delay generation of functional digraphs up to isomorphism
Polynomial-delay generation of functional digraphs up to isomorphism
Oscar Defrain, Antonio E. Porreca, Ekaterina Timofeeva
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We describe a procedure for the generation of functional digraphs up to isomorphism; these are digraphs with uniform outdegree 1, also called mapping patterns, finite endofunctions, or finite discrete-time dynamical systems. This procedure is based on a reverse search algorithm for the generation of connected functional digraphs, which is then applied as a subroutine for the generation of arbitrary ones. Both algorithms output solutions with O(n²) delay and require linear space with respect to the number n of vertices.
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