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Some results on the 3‐total‐rainbow index

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  • Ma, Yingbin
  • Zhu, Wenhan

Abstract

In this article, we first discuss the 3-total rainbow index of unicyclic graphs. Moreover, we show a sharp upper bound for the 3-total-rainbow index of general graphs. Finally, we determine the 3-total-rainbow index of all small cubic graphs of order 8 or less.

Suggested Citation

  • Ma, Yingbin & Zhu, Wenhan, 2022. "Some results on the 3‐total‐rainbow index," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    • Handle: RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002120
    DOI: 10.1016/j.amc.2022.127128
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    References listed on IDEAS

    as
    1. Qingqiong Cai & Xueliang Li & Yan Zhao, 2016. "The 3-rainbow index and connected dominating sets," Journal of Combinatorial Optimization, Springer, vol. 31(3), pages 1142-1159, April.
    2. Hui Lei & Shasha Li & Henry Liu & Yongtang Shi, 2018. "Rainbow vertex connection of digraphs," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 86-107, January.
    3. Yingbin Ma & Zaiping Lu, 2017. "Rainbow connection numbers of Cayley graphs," Journal of Combinatorial Optimization, Springer, vol. 34(1), pages 182-193, July.
    4. Ma, Yingbin & Lu, Zaiping, 2017. "Rainbow connection numbers of Cayley digraphs on abelian groups," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 178-183.
    Full references (including those not matched with items on IDEAS)

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