The reformulated Zagreb indices of tricyclic graphs

Shengjin Ji, Yongke Qu and Xia Li

Applied Mathematics and Computation, 2015, vol. 268, issue C, 590-595

Abstract: Milic˘evic´ et al. first introduced the reformulated Zagreb indices, which is a generalization of classical Zagreb indices of chemical graph theory. As we know, the Zagreb indices have been found applications in QSPR and QSAR studies. In the paper, we characterize the extremal properties of the first reformulated Zagreb index. We show some graph operations which increase or decrease this index. Furthermore, we determine the sharp bound of the first reformulated Zagreb index among all the extremal tricyclic graphs by these graph operations.

Keywords: The reformulated Zagreb index; Zagreb indices; Tricyclic graph; Degree of edge; Graph operation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:590-595

DOI: 10.1016/j.amc.2015.06.058

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