20.500.12556/RUL-131962 More results on the domination number of Cartesian product of two directed cycles Let 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. domination number Cartesian product directed cycle true false true Angleški jezik Ni določen Članek v reviji 2021-10-07 12:09:32 2021-10-07 12:09:32 2022-09-12 04:10:25 0000-00-00 00:00:00 2019 0 0 9 str. iss. 2, art. 210 Vol. 7 2019 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.1 2227-7390 10.3390/math7020210 24462088 RAZ_Ye_Ansheng_2019.pdf RAZ_Ye_Ansheng_2019.pdf 1 52A42E360617170B19D13E54A5029508 2522f13c0a6221866040d97c2281aa344eb68c3f696f0de340c25199692afdcb b57c2257-2756-11ec-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=149430 https://www.mdpi.com/2227-7390/7/2/210 0 abd2054c-2756-11ec-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=149429 Fakulteta za strojništvo 0 0 0