Albertson conjecture: Difference between revisions

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The '''Randić index''', also known as the '''connectivity index''', of a [[graph (mathematics)|graph]] is the sum of bond contributions <math>1/(d_i d_j)^{1/2}</math> where <math>d_i</math> and <math>d_j</math> are
the degrees of the vertices making bond&nbsp;''i''&nbsp;~&nbsp;''j''.


==History==
This [[graph invariant]] was introduced by [[Milan Randić]] in 1975.<ref>{{citation|first=M.|last=Randić|authorlink=Milan Randić|title=Characterization of molecular branching|journal=Journal of the American Chemical Society|volume=97|issue=23|year=1975|pages=6609–6615|doi=10.1021/ja00856a001}}.</ref> It is often used in [[chemoinformatics]] for investigations of [[organic compound]]s.


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==Notes==
{{reflist}}
 
==References==
*[[Roberto Todeschini]], [[Viviana Consonni]] (2009) "Molecular Descriptors for Chemoinformatics", ''[[Wiley-VCH]]'', ISBN 978-3-527-31852-0
 
{{DEFAULTSORT:Randic's molecular connectivity index}}
[[Category:Graph invariants]]
[[Category:Mathematical chemistry]]
[[Category:Cheminformatics]]

Revision as of 03:12, 4 October 2013

The Randić index, also known as the connectivity index, of a graph is the sum of bond contributions 1/(didj)1/2 where di and dj 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

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References

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