CENTRAL VERTICES VERSUS CENTRAL RINGS IN POLYCYCLIC SYSTEMS

Citation
D. Bonchev et At. Balaban, CENTRAL VERTICES VERSUS CENTRAL RINGS IN POLYCYCLIC SYSTEMS, Journal of mathematical chemistry, 14(3-4), 1993, pp. 287-304
Citations number
29
Categorie Soggetti
Chemistry,Mathematics
ISSN journal
02599791
Volume
14
Issue
3-4
Year of publication
1993
Pages
287 - 304
Database
ISI
SICI code
0259-9791(1993)14:3-4<287:CVVCRI>2.0.ZU;2-T
Abstract
This naive supposition that the central vertex(es) in polycyclic graph s should always belong to central ring(s) was examined for various cas es of systems containing condensed (fused) 3-, 4-, 5-, 6- and 7-member ed rings, as well as combinations of 5- and 7-membered rings. It was f ound that this conjecture is a general trend valid in the great majori ty of cases. However, counterexamples with the smallest number of ring s are reported for all types of these systems.