TOPOLOGICAL INDEXES BASED ON THE LINE GRAPH OF THE MOLECULAR GRAPH

Citation
I. Gutman et E. Estrada, TOPOLOGICAL INDEXES BASED ON THE LINE GRAPH OF THE MOLECULAR GRAPH, Journal of chemical information and computer sciences, 36(3), 1996, pp. 541-543
Citations number
20
Categorie Soggetti
Information Science & Library Science","Computer Application, Chemistry & Engineering","Computer Science Interdisciplinary Applications",Chemistry,"Computer Science Information Systems
ISSN journal
00952338
Volume
36
Issue
3
Year of publication
1996
Pages
541 - 543
Database
ISI
SICI code
0095-2338(1996)36:3<541:TIBOTL>2.0.ZU;2-#
Abstract
The topological index epsilon recently proposed by one of the authors [E. Estrada, J. Chem. Inf. Comput. Sci. 1995, 35, 31-33] is shown to b e identical to the connectivity index of the line graph of the molecul ar graph. This observation makes it possible to conceive a whole class of novel, line-graph-based topological indices. The Wiener index prov ides an exception: in the case of acyclic molecules, the Wiener index of the molecular graph and the Weiner index of the line graph differ b y a constant.