Authors: Sedlar, Jelena
Stevanović, Dragan 
Vasilyev, Alexander
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On the inverse sum indeg index
Journal: Discrete Applied Mathematics
Volume: 184
Issue: 1
First page: 202
Last page: 212
Issue Date: 1-Jan-2015
Rank: M22
ISSN: 0166-218X
DOI: 10.1016/j.dam.2014.11.013
Discrete Adriatic indices have been defined by Vukičević and Gašperov (2010), as a way of generalizing well-known molecular descriptors defined as the sum of individual bond contributions, such as the second Zagreb index or the Randić index. Among the 148 discrete Adriatic indices analyzed by Vukičević and Gašperov on the benchmark datasets of the International Academy of Mathematical Chemistry, 20 indices were selected as significant predictors of physicochemical properties. Here we study graph-theoretical properties of the Inverse Sum Indeg index, which was selected as a significant predictor of total surface area of octane isomers, and determine extremal values of this index across several graph classes, including connected graphs, chemical graphs, trees and chemical trees.
Keywords: Bond-additive descriptors | Discrete Adriatic indices | Molecular descriptors
Publisher: Elsevier
Project: Slovenian Research Agency, Projects J1-4021 and P1-0285
Graph theory and mathematical programming with applications in chemistry and computer science 

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