Harary index of bipartite graphs

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Abstract

The sum of reciprocals of distance between any two vertices in a graph G is called the Harary index. We determine the n-vertex extremal graphs with the maximum Harary index for all bipartite graphs, a given matching number, a given vertex-connectivity, and with a given edge-connectivity, respectively.

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Deng, H., Balachandran, S., Elumalai, S., & Mansour, T. (2019). Harary index of bipartite graphs. Electronic Journal of Graph Theory and Applications, 7(2), 365–372. https://doi.org/10.5614/ejgta.2019.7.2.12

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