ON GENERALIZATION OF WIENER INDEX FOR CYCLIC STRUCTURES
 

Milan Randiæ

National Institute of Chemistry,  Ljubljana,  Slovenia;  e-mail: milan.randic@ki.si
and
Department of Mathematics and Computer Science, Drake University,  Des Moines, IA  50311,  USA
Home FAX: 515 292 8629
 
 

ABSTRACT

We have critically examined a particular generalization of Wiener index to cyclic structures known as Szeged index.   Limited ability of Szeged index to give fair correlation of boiling points of cycloalkanes was traced to a deficiency in its definition which leads to great variation in index values between odd member cyclic systems and even member cyclic systems,  both of which show similar boiling points.   A remedy is suggested for construction of Wiener index more suited for cyclic structures.