Polynomial-delay generation of functional digraphs up to isomorphism

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Publication date: 27 February 2023

Abstract: 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 an algorithm for the generation of connected functional digraphs, which is then generalised to arbitrary ones. Both algorithms have an

O (n^{3})

delay between consecutive outputs. We also provide a proof-of-concept implementation of the algorithms.

Has companion code repository: https://github.com/aeporreca/funkdigen

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