Abstract
The Harary index of a connected (molecular) graph is defined as the sum of reciprocals of distances between all its pairs of vertices. In this paper, we characterize the extremal Eulerian graphs (with a fixed number of vertices) with greatest and smallest Harary indices and characterize the Harary indices of two special type of Eulerian graphs.
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This work is supported by National Natural Science Foundation of China (No. 11501322).
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Cai, J., Wang, P. & Zhang, L. Harary index of Eulerian graphs. J Math Chem 59, 1378–1394 (2021). https://doi.org/10.1007/s10910-021-01246-2
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DOI: https://doi.org/10.1007/s10910-021-01246-2