On the generalized ABC index of graphs
Kinkar Chandra Das, José M. Rodrı́guez, José M. Sigarreta
Abstract
The atom-bond connectivity and the generalized atom-bond connectivity indices have shown to be useful in the QSPR/QSAR researches. In particular, the atombond connectivity index has been applied to study the stability of alkanes and the strain energy of cycloalkanes. In this paper we obtain some bounds on these indices in terms of graph parameters. To obtain these bounds we use the mathematical tools from analysis. Some of these bounds for ABC improve, when = 1/2, known results on the ABC index.
Topics & Concepts
Topological indexQuantitative structure–activity relationshipIndex (typography)Atom (system on chip)GraphMathematicsStability (learning theory)CombinatoricsDiscrete mathematicsComputer scienceChemistryStereochemistryMachine learningEmbedded systemWorld Wide WebComputational Drug Discovery MethodsGraph theory and applicationsFree Radicals and Antioxidants