MOLECULAR TOPOLOGY .24. WIENER AND HYPER-WIENER INDEXES IN SPIRO-GRAPHS

Authors
DIUDEA MV KATONA G MINAILIUC OM PARV B
Citation
Mv. Diudea et al., MOLECULAR TOPOLOGY .24. WIENER AND HYPER-WIENER INDEXES IN SPIRO-GRAPHS, Russian chemical bulletin, 44(9), 1995, pp. 1606-1611
Citations number
18
Categorie Soggetti
Chemistry
Journal title
Russian chemical bulletin → ACNP
ISSN journal
10665285
Volume
44
Issue
9
Year of publication
1995
Pages
1606 - 1611
Database
ISI
SICI code
1066-5285(1995)44:9<1606:MT.WAH>2.0.ZU;2-5
Abstract
General formulas for calculating the Wiener index (W)(2) and the hyper -Wiener index (R)(3) in spiro-graphs containing three- to six-membered rings are proposed. They are derived on the basis of Hosoya's formula (4) and the Klein-Lukovitz-Gutman(5) formula for evaluating W and R, r espectively, in cycle-containing graphs, by using the layer matrix of cardinality (LC).(6) An extension of the Wiener number, the W, number of Gutman(7) is also evaluated for these spiro-graphs.