On topological indices of poly oxide, poly silicate, DOX, and DSL networks
- 1 July 2015
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Chemistry
- Vol. 93 (7), 730-739
- https://doi.org/10.1139/cjc-2014-0490
Abstract
Topological indices are numerical parameters of a graph that characterize its topology and are usually graph invariant. In a QSAR/QSPR study, physicochemical properties and topological indices such as Randić, atom–bond connectivity (ABC), and geometric–arithmetic (GA) indices are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we study different interconnection networks and derive analytical closed results of the general Randić index (Rα(G)) for α = 1, [Formula: see text], –1, [Formula: see text] only, for dominating oxide network (DOX), dominating silicate network (DSL), and regular triangulene oxide network (RTOX). All of the studied interconnection networks in this paper are motivated by the molecular structure of a chemical compound, SiO4. We also compute the general first Zagreb, ABC, GA, ABC4, and GA5 indices and give closed formulae of these indices for these interconnection networks.Keywords
This publication has 21 references indexed in Scilit:
- Computation of topological indices of certain networksApplied Mathematics and Computation, 2014
- Self-organization towards optimally interdependent networks by means of coevolutionNew Journal of Physics, 2014
- Spreading of cooperative behaviour across interdependent groupsScientific Reports, 2013
- Evolutionary dynamics of group interactions on structured populations: a reviewJournal of The Royal Society Interface, 2013
- Evolution of public cooperation on interdependent networks: The impact of biased utility functionsEurophysics Letters, 2012
- Coevolutionary games—A mini reviewBiosystems, 2010
- The selective extra-stage butterflyPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Addressing, routing, and broadcasting in hexagonal mesh multiprocessorsInternational Conference on Acoustics, Speech, and Signal Processing (ICASSP), 1990
- Mathematical Concepts in Organic ChemistryPublished by Springer Science and Business Media LLC ,1986
- Structural Determination of Paraffin Boiling PointsJournal of the American Chemical Society, 1947