WIENER NUMBER AS AN IMMANANT OF THE LAPLACIAN OF MOLECULAR GRAPHS

Authors
CHAN O LAM TK MERRIS R
Citation
O. Chan et al., WIENER NUMBER AS AN IMMANANT OF THE LAPLACIAN OF MOLECULAR GRAPHS, Journal of chemical information and computer sciences, 37(4), 1997, pp. 762-765
Citations number
20
Categorie Soggetti
Information Science & Library Science","Computer Application, Chemistry & Engineering","Computer Science Interdisciplinary Applications",Chemistry,"Computer Science Information Systems
Journal title
Journal of chemical information and computer sciences → ACNP
ISSN journal
00952338
Volume
37
Issue
4
Year of publication
1997
Pages
762 - 765
Database
ISI
SICI code
0095-2338(1997)37:4<762:WNAAIO>2.0.ZU;2-C
Abstract
In this work, we show that the Wiener number of an acyclic molecule ma y be expressed as a linear function of a hook immanant of the Laplacia n matrix associated with the molecule. This relation leads to a new in terpretation of the Wiener number as a weighted sum of matchings in th e molecular graph of acyclic compounds. The connection between the Wie ner number and immanants may pave the way for more use of algebraic to ols in the study of the Wiener number.