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Further Properties of Trees with Minimal Atom-Bond Connectivity Index

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  • Jianping Liu
  • Jinsong Chen

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 .

Suggested Citation

  • Jianping Liu & Jinsong Chen, 2014. "Further Properties of Trees with Minimal Atom-Bond Connectivity Index," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    • Handle: RePEc:hin:jnlaaa:609208
    DOI: 10.1155/2014/609208
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