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Maximum additively weighted Harary index of graphs with given connectivity or matching number

Saihua Liu, Jianping Qu, Youchuang Lin


This work studies the relationship among additively weighted Harary index, connectivity and matching number of graphs. As a result, the maximum additively weighted Harary index of graphs with any given connectivity or matching number is determined, the extremal graphs are also characterized.


Additively weighted Harary index, vertex connectivity, matching number.

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