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随机四角链的Hosoya多项式

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随机四角链的Hosoya多项式 肖传奇, 陈海燕集美大学理学院, 厦门 361021 The Hosoya Polynomial of a Random Polyomino Chain Xiao Chuanqi, Chen HaiyanSchool of Science, Jimei University, Xiamen 361021
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摘要图的Hosoya多项式包含图的许多和距离有关的信息，由它可以得到很多拓扑不变量，如Wiener指标和hyper-Wiener指标.本文主要研究随机四角链的Hosoya多项式，不仅给出了它的数学期望显式表达式，而且得到了对应随机四角链的Wiener指标和hyper-Wiener指标数学期望的显式表达式.
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收稿日期: 2015-06-10
PACS:O157.1
基金资助:国家自然科学基金（11171134，11301217），福建省自然科学基金（2011J01015，2013J01014）资助项目.

引用本文:
肖传奇, 陈海燕. 随机四角链的Hosoya多项式[J]. 应用数学学报, 2019, 42(1): 100-110. Xiao Chuanqi, Chen Haiyan. The Hosoya Polynomial of a Random Polyomino Chain. Acta Mathematicae Applicatae Sinica, 2019, 42(1): 100-110.
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