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Ring perception: proof of a formula calculating the number of the smallest rings in connected graphs

Authors :
Petitjean M
Fan BT
Panaye A
Doucet JP
Source :
Journal of chemical information and computer sciences [J Chem Inf Comput Sci] 2000 Jul; Vol. 40 (4), pp. 1015-7.
Publication Year :
2000

Abstract

A general mathematical proof of a formula proposed and used by Fan et al. for calculating the number of the smallest rings in their smallest set of the smallest rings search algorithm is reported. This proof generalizes this formula to all connected cyclic graphs.

Details

Language :
English
ISSN :
0095-2338
Volume :
40
Issue :
4
Database :
MEDLINE
Journal :
Journal of chemical information and computer sciences
Publication Type :
Academic Journal
Accession number :
10955532
Full Text :
https://doi.org/10.1021/ci000004n