Frucht’s Theorem for the Digraph Factorial
To every graph (or digraph) A, there is an associated automorphism group Aut(A). Frucht’s theorem asserts the converse association; that for any finite group G there is a graph (or digraph) A for which Aut(A) ∼= G.
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2013-05-01
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| Series: | Discussiones Mathematicae Graph Theory |
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| Online Access: | https://doi.org/10.7151/dmgt.1661 |
| _version_ | 1797717996218613760 |
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| author | Hammack Richard H. |
| author_facet | Hammack Richard H. |
| author_sort | Hammack Richard H. |
| collection | DOAJ |
| description | To every graph (or digraph) A, there is an associated automorphism group Aut(A). Frucht’s theorem asserts the converse association; that for any finite group G there is a graph (or digraph) A for which Aut(A) ∼= G. |
| first_indexed | 2024-03-12T08:44:33Z |
| format | Article |
| id | doaj.art-172b026e0ac04694b06907b0baddef6c |
| institution | Directory Open Access Journal |
| issn | 2083-5892 |
| language | English |
| last_indexed | 2024-03-12T08:44:33Z |
| publishDate | 2013-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae Graph Theory |
| spelling | doaj.art-172b026e0ac04694b06907b0baddef6c2023-09-02T16:30:01ZengUniversity of Zielona GóraDiscussiones Mathematicae Graph Theory2083-58922013-05-0133232933610.7151/dmgt.1661Frucht’s Theorem for the Digraph FactorialHammack Richard H.0Department of Mathematics and Applied Mathematics Virginia Commonwealth University Richmond, VA 23284 USATo every graph (or digraph) A, there is an associated automorphism group Aut(A). Frucht’s theorem asserts the converse association; that for any finite group G there is a graph (or digraph) A for which Aut(A) ∼= G.https://doi.org/10.7151/dmgt.1661frucht’s theoremdigraphsgraph automorphismsdigraph factorial |
| spellingShingle | Hammack Richard H. Frucht’s Theorem for the Digraph Factorial Discussiones Mathematicae Graph Theory frucht’s theorem digraphs graph automorphisms digraph factorial |
| title | Frucht’s Theorem for the Digraph Factorial |
| title_full | Frucht’s Theorem for the Digraph Factorial |
| title_fullStr | Frucht’s Theorem for the Digraph Factorial |
| title_full_unstemmed | Frucht’s Theorem for the Digraph Factorial |
| title_short | Frucht’s Theorem for the Digraph Factorial |
| title_sort | frucht s theorem for the digraph factorial |
| topic | frucht’s theorem digraphs graph automorphisms digraph factorial |
| url | https://doi.org/10.7151/dmgt.1661 |
| work_keys_str_mv | AT hammackrichardh fruchtstheoremforthedigraphfactorial |