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On the ordering of the Randić index of unicyclic and bicyclic graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 5، دوره 10، شماره 3، آذر 2025، صفحه 547-561 اصل مقاله (556.79 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.28665.1661 | ||
| نویسندگان | ||
| Venkatesan Maitreyi1؛ Suresh Elumalai* 1؛ Bala Chandran Selvraj2 | ||
| 1Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chengalpet 603 203, India | ||
| 2Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Thanjavur, India | ||
| چکیده | ||
| Let $d_x$ be the degree of the vertex $x$ in a graph $G$. The Randić index of $G$ is defined by $R(G) = \sum_{xy \in E(G)} (d_x d_y)^ {-\frac{1}{2}}$. Recently, Hasni et al. [Unicyclic graphs with Maximum Randi'{c} indices, Communication in Combinatorics and Optimization, 1 (2023), 161--172] obtained the ninth to thirteenth maximum Randić indices among the unicyclic graphs with $n$ vertices. In this paper, we correct the ordering of Randić index of unicyclic graphs. In addition, we present the ordering of maximum Randi'c index among bicyclic graphs of order $n$. | ||
| کلیدواژهها | ||
| unicyclic graphs؛ bicyclic graphs؛ Randić index | ||
| مراجع | ||
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