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   maximum modified sombor index of unicyclic graphs with given girth  
   
نویسنده nagarajan sethumadhavan ,vijaya a‎.
منبع iranian journal of mathematical chemistry - 2024 - دوره : 15 - شماره : 2 - صفحه:117 -122
چکیده    ‎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.
کلیدواژه modified sombor index ,topological index ,graph invariant ,unicyclic graph ,girth
آدرس ‎kongu arts and science college (autonomous)‎, department of mathematics‎, india, ‎avp college of arts and science‎, department of mathematics‎, india
پست الکترونیکی vijayaarchunan1991@gmail.com
 
     
   
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