Notes on Trees with Minimal Atom-Bond Connectivity Index

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The ABC Matrix (2016, methodology): “In a subsequent critical evaluation of this descriptive capacity of the ABC index for the heat of formation of alkanes Gutman et al. (2012b) con rmed that it reproduces the heat of formation with an accuracy comparable to that of high-level ab initio and DFT (MP2, B3LYP) quantum chemical…”
The ABC Index Conundrum (2013, methodology): “Computer search for minimal-ABC trees In an attempt to guess the general structure of the n-vertex tree(s) with minimal ABC index, all trees of order n were checked, up to n as large as possible, and the tree(s) with smallest ABC singled out [17, 22].”
Kragujevac Trees with Minimal Atom{Bond Connectivity Index (2014, background): “In order to possibly envisage the structure of minimal-ABC trees, extensive numerical studies have been undertaken [1, 7, 8].”
Trees with Smallest Atom-Bond Connectivity Index (2012, methodology): “In [13] the nvertex minimum-ABC tree(s) were determined up to n = 30.”