The Atom-Bond Connectivity Index of Catacondensed Polyomino Graphs

Jinsong Chen, Jianping Liu and Qiaoliang Li

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-7

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 give the atom-bond connectivity index of the zigzag chain polyomino graphs. Meanwhile, we obtain the sharp upper bound on the atom-bond connectivity index of catacondensed polyomino graphs with squares and determine the corresponding extremal graphs.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:598517

DOI: 10.1155/2013/598517

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