多角链键关联度（BID）指数的统一方法
Bond Incident Degree (BID) Indices of Polyomino Chains: A Unified Approach
摘要：
本文建立了计算多角链键关联度指数的一般表达式，并利用几种已知的键关联度指数刻画了多角链的极值.从所得结果出发，推广了[M.安湖，澳-地Xiong，Extremal polyomino chains with respect to general Randić index，\textit{J. Comb. Optim.}（2014）DOI 10.1007/s10878-014-9781-6]，[H. Deng，S.巴拉钱德兰K. Ayyaswamy，Y. B. Venkatakrishnan，The harmonic indices of polyomino chains，\textit{Natl. Acad. Sci. Lett.} \textbf{37}（5），（2014）451-455]，[Z. Yarahmadi，A. R. Ashrafi和S. Moradi，Extremal polyomino chains with respect to Zagreb indices，\textit{Appl. Math. Lett.} \textbf{25}（2012）166-171]，以及[J. Rada，The linear chain as an extremal value of VDB topological indices of polyomino chains，\textit{Appl. Math. Sci.} \textbf{8}，（2014）5133-5143]，[A.阿里A. A. Bhatti，Z. Raza，Some vertex-degree-based topological indices of polyomino chains，\textit{J. Comput. Theor. Nanosci.} \textbf{12}（9），（2015）2101-2107]作为推论得到。
英文摘要：
This work is devoted to establish a general expression for calculating the bond incident degree (BID) indices of polyomino chains and to characterize the extremal polyomino chains with respect to several well known BID indices. From the derived results, all the results of [M. An, L. Xiong, Extremal polyomino chains with respect to general Randić index, \textit{J. Comb. Optim.} (2014) DOI 10.1007/s10878-014-9781-6], [H. Deng, S. Balachandran, S. K. Ayyaswamy, Y. B. Venkatakrishnan, The harmonic indices of polyomino chains, \textit{Natl. Acad. Sci. Lett.} \textbf{37}(5), (2014) 451-455], [Z. Yarahmadi, A. R. Ashrafi and S. Moradi, Extremal polyomino chains with respect to Zagreb indices, \textit{Appl. Math. Lett.} \textbf{25} (2012) 166-171], and also some results of [J. Rada, The linear chain as an extremal value of VDB topological indices of polyomino chains, \textit{Appl. Math. Sci.} \textbf{8}, (2014) 5133-5143], [A. Ali, A. A. Bhatti, Z. Raza, Some vertex-degree-based topological indices of polyomino chains, \textit{J. Comput. Theor. Nanosci.} \textbf{12}(9), (2015) 2101-2107] are obtained as corollaries.
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