Further Properties of Trees with Minimal Atom‐Bond Connectivity Index

Jianping Liu and Jinsong Chen

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Let G = (V, E) be a graph the atom‐bond connectivity (ABC) index is defined as the sum of weights ((du + dv − 2)/dudv) 1/2 over all edges uv of G, where du denotes the degree of a vertex u of G. In this paper, we determined a few structural features of the trees with minimal ABC index also we characterized the trees with dia[T] = 2 and minimal ABC index, where [T] is induced by the vertices of degree greater than 2 in T and dia[T] is the diameter of [T].

Date: 2014
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https://doi.org/10.1155/2014/609208

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:609208

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