Albertson conjecture: Difference between revisions

Revision as of 04:12, 4 October 2013

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

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References

Roberto Todeschini, Viviana Consonni (2009) "Molecular Descriptors for Chemoinformatics", Wiley-VCH, ISBN 978-3-527-31852-0

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[1]

@@ Line 1: / Line 1: @@
+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]]

Albertson conjecture: Difference between revisions

Revision as of 04:12, 4 October 2013

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