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  • 标题:The Atom-Bond Connectivity Index of Catacondensed Polyomino Graphs
  • 本地全文:下载
  • 作者:Jinsong Chen ; Jianping Liu ; Qiaoliang Li
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2013
  • 卷号:2013
  • DOI:10.1155/2013/598517
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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