Further Properties of Trees with Minimal Atom-Bond Connectivity Index

Jianping Liu and Jinsong Chen

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

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 .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:609208

DOI: 10.1155/2014/609208

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