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Randić's molecular connectivity index

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The Randić index, also known as the connectivity index, of a graph is the sum of bond contributions 1 / ( d i d j ) 1 / 2 {\displaystyle 1/(d_{i}d_{j})^{1/2}} where d i {\displaystyle d_{i}} and d j {\displaystyle d_{j}} are the degrees of the vertices making bond i ~ j.

History

This graph invariant was introduced by Milan Randić in 1975. It is often used in chemoinformatics for investigations of organic compounds.

Notes

  1. Randić, M. (1975), "Characterization of molecular branching", Journal of the American Chemical Society, 97 (23): 6609–6615, doi:10.1021/ja00856a001.

References


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