Minimum Randić Index of Trees with Fixed Total Domination Number
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 tr...
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MDPI AG
2022-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/20/3729 |
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| author | Ayu Ameliatul Shahilah Ahmad Jamri Fateme Movahedi Roslan Hasni Rudrusamy Gobithaasan Mohammad Hadi Akhbari |
| author_facet | Ayu Ameliatul Shahilah Ahmad Jamri Fateme Movahedi Roslan Hasni Rudrusamy Gobithaasan Mohammad Hadi Akhbari |
| author_sort | Ayu Ameliatul Shahilah Ahmad Jamri |
| collection | DOAJ |
| description | 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. |
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| format | Article |
| id | doaj.art-51b9d0b519ef47f28e2098eaf9ee6b9b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T19:52:06Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-51b9d0b519ef47f28e2098eaf9ee6b9b2023-11-24T01:06:19ZengMDPI AGMathematics2227-73902022-10-011020372910.3390/math10203729Minimum Randić Index of Trees with Fixed Total Domination NumberAyu Ameliatul Shahilah Ahmad Jamri0Fateme Movahedi1Roslan Hasni2Rudrusamy Gobithaasan3Mohammad Hadi Akhbari4Special Interest Group on Modelling and Data Analytics (SIGMDA), Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, MalaysiaDepartment of Mathematics, Faculty of Sciences, Golestan University, Gorgan 15759-49138, IranSpecial Interest Group on Modelling and Data Analytics (SIGMDA), Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, MalaysiaSpecial Interest Group on Modelling and Data Analytics (SIGMDA), Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, MalaysiaDepartment of Mathematics, Estahban Branch, Islamic Azad University, Estahban 74518-64756, IranThe 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.https://www.mdpi.com/2227-7390/10/20/3729Randić indextotal domination numbertree |
| spellingShingle | Ayu Ameliatul Shahilah Ahmad Jamri Fateme Movahedi Roslan Hasni Rudrusamy Gobithaasan Mohammad Hadi Akhbari Minimum Randić Index of Trees with Fixed Total Domination Number Mathematics Randić index total domination number tree |
| title | Minimum Randić Index of Trees with Fixed Total Domination Number |
| title_full | Minimum Randić Index of Trees with Fixed Total Domination Number |
| title_fullStr | Minimum Randić Index of Trees with Fixed Total Domination Number |
| title_full_unstemmed | Minimum Randić Index of Trees with Fixed Total Domination Number |
| title_short | Minimum Randić Index of Trees with Fixed Total Domination Number |
| title_sort | minimum randic index of trees with fixed total domination number |
| topic | Randić index total domination number tree |
| url | https://www.mdpi.com/2227-7390/10/20/3729 |
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