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On 2-Rainbow Domination of Generalized Petersen Graphs P ( ck , k )

Author

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  • Simon Brezovnik

    (Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia
    Physics and Mechanics, Institute of Mathematics, Jadranska 19, 1000 Ljubljana, Slovenia)

  • Darja Rupnik Poklukar

    (Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia)

  • Janez Žerovnik

    (Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia
    Physics and Mechanics, Institute of Mathematics, Jadranska 19, 1000 Ljubljana, Slovenia)

Abstract

We obtain new results on the 2-rainbow domination number of generalized Petersen graphs P ( c k , k ) . Exact values are established for all infinite families where the general lower bound 4 5 c k is attained. In all other cases lower and upper bounds with small gaps are given.

Suggested Citation

  • Simon Brezovnik & Darja Rupnik Poklukar & Janez Žerovnik, 2023. "On 2-Rainbow Domination of Generalized Petersen Graphs P ( ck , k )," Mathematics, MDPI, vol. 11(10), pages 1-16, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2271-:d:1145737
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    References listed on IDEAS

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    1. Gao, Zhipeng & Lei, Hui & Wang, Kui, 2020. "Rainbow domination numbers of generalized Petersen graphs," Applied Mathematics and Computation, Elsevier, vol. 382(C).
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