Minimum Randić Index of Trees with Fixed Total Domination Number

Ayu Ameliatul Shahilah Ahmad Jamri, Fateme Movahedi, Roslan Hasni (), Rudrusamy Gobithaasan and Mohammad Hadi Akhbari
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Ayu Ameliatul Shahilah Ahmad Jamri: Special Interest Group on Modelling and Data Analytics (SIGMDA), Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, Malaysia
Fateme Movahedi: Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan 15759-49138, Iran
Roslan Hasni: Special Interest Group on Modelling and Data Analytics (SIGMDA), Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, Malaysia
Rudrusamy Gobithaasan: Special Interest Group on Modelling and Data Analytics (SIGMDA), Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, Malaysia
Mohammad Hadi Akhbari: Department of Mathematics, Estahban Branch, Islamic Azad University, Estahban 74518-64756, Iran

Mathematics, 2022, vol. 10, issue 20, 1-13

Abstract: The Randić index is among the most famous degree-based topological indices in chemical graph theory. It was introduced due to its application in modeling the properties of certain molecular structures and has been extensively studied. In this paper, we study the lower bound of the Randić index of trees in terms of the order and the total domination number. Finally, trees with the minimal Randić index are characterized.

Keywords: Randi? index; total domination number; tree (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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