多联骨牌链的键入度指数：一种统一方法
摘要
本文致力于建立计算多联骨牌链键入度 (BID) 指数的通用表达式，并刻画关于几个著名 BID 指数的极值多联骨牌链。从推导出的结果出发，[M. An, L. Xiong, Extremal polyomino chains with respect to general Randi\'{c} 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] 的所有结果，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. 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] 的部分结果均作为推论获得。
引用
@article{arxiv.1504.06145,
title = {Bond Incident Degree (BID) Indices of Polyomino Chains: A Unified Approach},
author = {A. Ali and Z. Raza and A. A. Bhatti},
journal= {arXiv preprint arXiv:1504.06145},
year = {2017}
}
备注
17 pages, 3 figures