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On the 2-rainbow independent domination numbers of some graphs

Author

Listed:
  • Boštjan Gabrovšek

    (University of Ljubljana
    Institute of Mathematics
    University of Ljubljana)

  • Aljoša Peperko

    (University of Ljubljana
    Institute of Mathematics)

  • Janez Žerovnik

    (University of Ljubljana
    Institute of Mathematics)

Abstract

By suitably adjusting the tropical algebra technique we compute the rainbow independent domination numbers of several infinite families of graphs including Cartesian products $$C_n \Box P_m$$ C n □ P m and $$C_n \Box C_m$$ C n □ C m for all n and $$m\le 5$$ m ≤ 5 , and generalized Petersen graphs P(n, 2) for $$n \ge 3$$ n ≥ 3 .

Suggested Citation

  • Boštjan Gabrovšek & Aljoša Peperko & Janez Žerovnik, 2023. "On the 2-rainbow independent domination numbers of some graphs," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(3), pages 817-831, September.
    • Handle: RePEc:spr:cejnor:v:31:y:2023:i:3:d:10.1007_s10100-023-00840-w
    DOI: 10.1007/s10100-023-00840-w
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    Cited by:

    1. Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2023. "60 years of OR in Slovenia: development from a first conference to a vibrant community," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(3), pages 681-690, September.

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