Randić's molecular connectivity index

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

History

This graph invariant was introduced by Milan Randić in 1975.[1] It is often used in chemoinformatics for investigations of organic compounds.

Notes

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

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References

Roberto Todeschini, Viviana Consonni (2009) "Molecular Descriptors for Chemoinformatics", Wiley-VCH, ISBN 978-3-527-31852-0
Li, Xueliang; Shi, Yongtang (2008), "A survey on the Randić index", MATCH Communications in Mathematical and in Computer Chemistry, 59 (1): 127–156.

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