Additively weighted Harary index of some composite graphs

نویسندگان

  • Yaser Alizadeh
  • Ali Iranmanesh
  • Tomislav Doslic
چکیده

We introduce a modification of the Harary index where the contributions of vertex pairs are weighted by the sum of their degrees. After establishing basic mathematical properties of the new invariant, we proceed by finding the extremal graphs and investigating its behavior under several standard graph products.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 313  شماره 

صفحات  -

تاریخ انتشار 2013