Polynomial-delay generation of functional digraphs up to isomorphism
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909301658877952 |
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| author | Defrain, Oscar Porreca, Antonio E. Timofeeva, Ekaterina |
| author_facet | Defrain, Oscar Porreca, Antonio E. Timofeeva, Ekaterina |
| contents | 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 $O(n^2)$ delay and require linear space with respect to the number $n$ of vertices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13832 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Polynomial-delay generation of functional digraphs up to isomorphism Defrain, Oscar Porreca, Antonio E. Timofeeva, Ekaterina Data Structures and Algorithms Discrete Mathematics Combinatorics Dynamical Systems 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 $O(n^2)$ delay and require linear space with respect to the number $n$ of vertices. |
| title | Polynomial-delay generation of functional digraphs up to isomorphism |
| topic | Data Structures and Algorithms Discrete Mathematics Combinatorics Dynamical Systems |
| url | https://arxiv.org/abs/2302.13832 |