Extreme Atom-Bond Connectivity Index of Graphs

By J. S. Chen, X. Guo, 郭晓峰. 2011

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On atom-bond connectivity index (2011, background): “Contrary to [6], this work attracted the attention of mathematically oriented scholars, resulting in a remarkable number of researches on the mathematical properties of the ABC index [1–4, 7–9, 12, 17–19].”
Notes on Trees with Minimal Atom-Bond Connectivity Index (2012, background): “These results triggered a number of mathematical investigations of the ABC-index [6–14].”
The ABC Index Conundrum (2013, background): “/ Filomat 27:6 (2013), 1075–1083 1076 In the last few years there is an increased interest for the mathematical properties of the ABC index, resulting in quite a few published papers [1, 2, 4–10, 15–19, 21, 22, 25, 26, 29–32, 34].”
Trees with Smallest Atom-Bond Connectivity Index (2012, background): “It could be easily shown [3,10,12] that the n-vertex graph and the n-vertex tree with maximal ABC index are, respectively, the complete graph and the star.”