The Zagreb indices of graphs based on four new operations related to the lexicographic product

D. Sarala, Hanyuan Deng, S.K. Ayyaswamy and S. Balachandran

Applied Mathematics and Computation, 2017, vol. 309, issue C, 156-169

Abstract: For a (molecular) graph, the first Zagreb index M1 is the sum of squares of the degrees of vertices, and the second Zagreb index M2 is the sum of the products of the degrees of pairs of adjacent vertices. In this work, we study the first and second Zagreb indices of graphs based on four new operations related to the lexicographic product, subdivision and total graph.

Keywords: Zagreb index; Degree; Lexicographic product; Subdivision; Total graph (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:309:y:2017:i:c:p:156-169

DOI: 10.1016/j.amc.2017.04.002

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