مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Information Journal Paper

Title

Maximum Modified Sombor Index of Unicyclic Graphs with Given Girth

Pages

  117-122

Abstract

 ‎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.

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