More results on the domination number of Cartesian product of two directed cyclesYe, Ansheng (Avtor) Miao, Fang (Avtor) Shao, Zehui (Avtor) Liu, Jia-Bao (Avtor) Žerovnik, Janez (Avtor) Repolusk, Polona (Avtor) domination numberCartesian productdirected cycleLet γ(D) denote the domination number of a digraph D and let C$_m$□C$_n$ denote the Cartesian product of C$_m$ and C$_n$, the directed cycles of length n ≥ m ≥ 3. Liu et al. obtained the exact values of γ(C$_m$□C$_n$) for m up to 6 [Domination number of Cartesian products of directed cycles, Inform. Process. Lett. 111 (2010) 36–39]. Shao et al. determined the exact values of γ(C$_m$□C$_n$) for m = 6, 7 [On the domination number of Cartesian product of two directed cycles, Journal of Applied Mathematics, Volume 2013, Article ID 619695]. Mollard obtained the exact values of γ(C$_m$□C$_n$) for m = 3k + 2 [M. Mollard, On domination of Cartesian product of directed cycles: Results for certain equivalence classes of lengths, Discuss. Math. Graph Theory 33(2) (2013) 387–394.]. In this paper, we extend the current known results on C$_m$□C$_n$ with m up to 21. Moreover, the exact values of γ(C$_n$□C$_n$) with n up to 31 are determined. 20192021-10-07 12:09:32Članek v reviji131962UDK: 519.1ISSN pri članku: 2227-7390DOI: 10.3390/math7020210COBISS_ID: 24462088sl