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

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

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.