EXTENSION OF THE Z-MATRIX TO CYCLE-CONTAINING AND EDGE-WEIGHTED MOLECULAR GRAPHS

Authors
PLAVSIC D SOSKIC M DAKOVIC Z GUTMAN I GRAOVAC A
Citation
D. Plavsic et al., EXTENSION OF THE Z-MATRIX TO CYCLE-CONTAINING AND EDGE-WEIGHTED MOLECULAR GRAPHS, Journal of chemical information and computer sciences, 37(3), 1997, pp. 529-534
Citations number
37
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
3
Year of publication
1997
Pages
529 - 534
Database
ISI
SICI code
0095-2338(1997)37:3<529:EOTZTC>2.0.ZU;2-3
Abstract
The Hosoya Z matrix is originally defined only for trees. Due to a mul titude of possibilities to connect pairs of vertices in a general conn ected undirected graph, the Z matrix could be generalized in different ways. A possibility to resolve this problem is discussed. For edge-we ighted graphs, the Z,, matrix based on the novel Z index is defined. In analogy to path numbers invariants (k)Z, k = 1, 2,..., are introduc ed, and their correlation with boiling points of saturated hydrocarbon s is studied.