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The Italian Domination Numbers of Some Products of Directed Cycles

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  • Kijung Kim

    (Department of Mathematics, Pusan National University, Busan 46241, Korea)

Abstract

An Italian dominating function on a digraph D with vertex set V ( D ) is defined as a function f : V ( D ) → { 0 , 1 , 2 } such that every vertex v ∈ V ( D ) with f ( v ) = 0 has at least two in-neighbors assigned 1 under f or one in-neighbor w with f ( w ) = 2 . In this article, we determine the exact values of the Italian domination numbers of some products of directed cycles.

Suggested Citation

  • Kijung Kim, 2020. "The Italian Domination Numbers of Some Products of Directed Cycles," Mathematics, MDPI, vol. 8(9), pages 1-6, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1472-:d:407097
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    References listed on IDEAS

    as
    1. Zepeng Li & Zehui Shao & Jin Xu, 2018. "Weak {2}-domination number of Cartesian products of cycles," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 75-85, January.
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    Cited by:

    1. Ahlam Almulhim & Bana Al Subaiei & Saiful Rahman Mondal, 2024. "Survey on Roman {2}-Domination," Mathematics, MDPI, vol. 12(17), pages 1-20, September.

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