20.500.12556/RUP-21153 Cyclic m-DCI-groups and m-CI-groups Based on the earlier work of Li from 1997 and Dobson from 2008, in this paper we complete the classification of cyclic m-DCI-groups and m-CI-groups. For a positive integer m such that m ≥ 3, we show that the group ℤ_(n) is an m-DCI-group if and only if n is not divisible by 8 nor by p² for any odd prime p < m. Furthermore, if m ≥ 6, then we show that ℤn is an m-CI-group if and only if either n ∈ {8, 9, 18}, or n ∉ {8, 9, 18} and n is not divisible by 8 nor by p² for any odd prime p < (m - 1)/2. Cayley graph cyclic group m-CI-group m-DCI-group Cayleyjev graf ciklična grupa m-CI-grupa m-DCI-grupa true false false Angleški jezik Slovenski jezik Neznano 2025-04-01 15:34:57 2025-04-01 15:34:58 2025-04-02 13:46:30 0000-00-00 00:00:00 2025 0 0 str. 1-12 no. 1 Vol. 8 2025 0000-00-00 Zaloznikova NiDoloceno NiDoloceno 0000-00-00 0000-00-00 2025-03-28 519.17 2590-9770 10.26493/2590-9770.1740.b72 230978307 https://adam-journal.eu/index.php/ADAM/article/view/1740 1 207e0837-0efe-11f0-bc14-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=30553 RAZ_Kovacs_Istvan_2025.pdf RAZ_Kovacs_Istvan_2025.pdf 1 3E1B8BC237570D76E29951B8DC411F14 6b1fcdd734766fe0010b450c6c5db4724849a4c39ef193ae70e850eea4ebcb4d 5a92f5ae-0eff-11f0-bc14-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=30554 Fakulteta za matematiko, naravoslovje in informacijske tehnologije Inštitut Andrej Marušič 0 0 0