Journal
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s13660-018-1628-8
Keywords
ABC index; GA index; Spiro chain; Average value; Comparison
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Funding
- Natural Science Foundation of Fujian Province [2015J01589]
- Science Foundation for the Education Department of Fujian Province [JAT160386]
- Science Foundation of Minjiang University [MYK15004, Mjyp201608]
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The atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index are two well-studied topological indices, which are useful tools in QSPR and QSAR investigations. In this paper, we first obtain explicit formulae for the expected values of ABC and GA indices in random spiro chains, which are graphs of a class of unbranched polycyclic aromatic hydrocarbons. Based on these formulae, we then present the average values of ABC and GA indices with respect to the set of all spiro chains with n hexagons and make a comparison between the expected values of ABC and GA indices in random spiro chains.
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