446 KB0 KB235 KB2025Kovács, IstvánŠinkovec, Lukaštevilka:1letnik:8str. 1-12DOI:10.26493/2590-9770.1740.b72COBISSID_HOST:230978307ISSN:2590-9770URN:URN:NBN:SI:doc-MTNWAE7KenFakulteta za matematiko, naravoslovje in informacijske tehnologijeThe art of discrete and applied mathematicsCayley graphCayleyjev grafciklična grupacyclic groupm-CI-groupm-CI-grupam-DCI-groupm-DCI-grupaCyclic 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)/2TEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije