Let be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights over all edges of , where denotes the degree of a vertex of . In this paper, we determined a few structural features of the trees with minimal ABC index also we characterized the trees with and minimal ABC index, where is induced by the vertices of degree greater than 2 in and is the diameter of .
Jianping Liu. Jinsong Chen. "Further Properties of Trees with Minimal Atom-Bond Connectivity Index." Abstr. Appl. Anal. 2014 (SI17) 1 - 10, 2014. https://doi.org/10.1155/2014/609208