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  • More results on the domination number of Cartesian product of two directed cycles [Elektronski vir]
    Ye, Ansheng ...
    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.
    Source: Mathematics [Elektronski vir]. - ISSN 2227-7390 (Vol. 7, no. 2, 2019, Str. 1-9)
    Type of material - e-article ; adult, serious
    Publish date - 2019
    Language - english
    COBISS.SI-ID - 24462088

    Link(s):

    Digital Library of the University of Maribor – DLUM
    Repository of the University of Ljubljana – RUL
    DOI

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