Kekul茅 structures of polyomino chains and the Hosoya index of caterpillar trees

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• 作者：Shuli Li ^{lishuli198710@163.com} ; Weigen Yan ; ^{weigenyan@263.net}
• 关键词：Z-index ; Polyomino chain ; Matching ; Kekulé ; structure
• 刊名：Discrete Mathematics
• 出版年：2012
• 期刊代码：47_0012365x
• 类别：cp
• 出版时间：6 August, 2012
• 卷：312
• 期：15
• 页码：2397-2400
• 文件大小：236 K

摘要

Let be a hexagonal chain. Gutman [I.聽Gutman, Topological properties of benzenoid systems, Theor. Chim. Acta, 45 (1977), 307-315.] proved that there exists a caterpillar tree such that the number of Kekul茅 structures of is equal to the Hosoya index of . In this note, we show that, for a polyomino chain , there exists a corresponding caterpillar tree such that the number of Kekul茅 structures of is equal to the Hosoya index of .