Maximum Modified Sombor Index of Unicyclic Graphs with Given Girth
نویسندگان
1 Department of Mathematics, Kongu Arts and Science College (Autonomous), Erode, Tamilnadu-638 107
2 Department of Mathematics, AVP College of Arts and Science, Tirupur-641 652
doi
10.22052/ijmc.2023.253810.1780چکیده
For any graph $G$, the modified Sombor index is defined as the reciprocal of the well-known Sombor Index. The girth of $G$, by short $g(G)$, is the length of the smallest cycle in $G$. A graph with exactly one cycle is a unicyclic graph. If it is further, connected, it is a connected unicyclic graph. In this article, we achieved the modified Sombor index for a collection of graphs, connected unicyclic graphs and also obtained the maximum modified Sombor index for the class of unicyclic graphs based on the restrictions by a fixed girth.
