On the edge-version atom-bond connectivity and geometric arithmetic indices of certain graph operations

Wei Gao, Mohammad Reza Farahani, Shaohui Wang and Mohamad Nazri Husin

Applied Mathematics and Computation, 2017, vol. 308, issue C, 11-17

Abstract: Let dL(G)(e) be the degree of an edge e in line graph L(G) of a graph G. The edge versions of atom-bond connectivity (ABCe) and geometric arithmetic (GAe) indices of G are defined as ∑ef∈E(L(G))(dL(G)(e)+dL(G)(f)−2dL(G)(e)×dL(G)(f) and GAe(G)=∑ef∈E(L(G))2dL(G)(e)dL(G)(f)dL(G)(e)+dL(G)(f). In this paper, we study the ABCe and GAe indices for joint graphs and certain graph operations.

Keywords: Atom-bond connectivity index; Geometric arithmetic index; Line graph; Joint graph (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:308:y:2017:i:c:p:11-17

DOI: 10.1016/j.amc.2017.02.046

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