Bounds for the Sum-Balaban index and (revised) Szeged index of regular graphs

Hui Lei and Hua Yang

Applied Mathematics and Computation, 2015, vol. 268, issue C, 1259-1266

Abstract: Mathematical properties of many topological indices are investigated. Knor et al. gave an upper bound for the Balaban index of r-regular graphs on n vertices and a better upper bound for fullerene graphs. They also suggested exploring similar bounds for other topological indices. In this paper, we consider the Sum-Balaban index and the (revised) Szeged index, and give upper and lower bounds for these three indices of r-regular graphs, and also the cubic graphs and fullerene graphs, respectively.

Keywords: Sum-Balaban index; The (revised) Szeged index; Regular graph; Fullerene graph (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:1259-1266

DOI: 10.1016/j.amc.2015.07.021

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