Some results on the 3‐total‐rainbow index

Yingbin Ma and Wenhan Zhu

Applied Mathematics and Computation, 2022, vol. 427, issue C

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.

Keywords: Total-coloring; TRT-connecting; 3-total-rainbow coloring; 3-total-rainbow index; Total-rainbow 3-tree connected (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002120

DOI: 10.1016/j.amc.2022.127128

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