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Abstract and Applied Analysis
Volume 2014, Article ID 609208, 10 pages
Research Article

Further Properties of Trees with Minimal Atom-Bond Connectivity Index

College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China

Received 22 April 2014; Accepted 27 May 2014; Published 19 June 2014

Academic Editor: Yonghui Xia

Copyright © 2014 Jianping Liu and Jinsong Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 .