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SM ISO690:2012 MADANI, Somayeh, ASHRAFI, Ali-Reza. General form of the automorphism group of bicyclic graphs. In: Quasigroups and Related Systems, 2023, vol. 31, nr. 1, pp. 97-116. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v31.07 |
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Quasigroups and Related Systems | ||||||
Volumul 31, Numărul 1 / 2023 / ISSN 1561-2848 | ||||||
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DOI:https://doi.org/10.56415/qrs.v31.07 | ||||||
CZU: 512.541.5+519.175.3 | ||||||
MSC 2010: 20B25. | ||||||
Pag. 97-116 | ||||||
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In 1869, Jordan proved that the set T of all finite groups that can be represented as the automorphism group of a tree is containing the trivial group, it is closed under taken the direct product of groups of lower orders in T , and wreath product of a member of T and the symmetric group on n symbols is again an element of T . The aim of this paper is to continue this work and another works by Klavi k and Zeman in 2017 to present a class S of finite groups for which the automorphism group of each bicyclic graph is a member of S and this class is minimal with this property. |
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Cuvinte-cheie automorphism group, Tree, unicyclic graph, bicyclic graph. Ali Reza Ashrafi died a tragic death on January 9, 2023 |
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