Abstract
Let Q n and B n denote a quasi-polyomino chain with n squares and a quasi-hexagonal chain with n hexagons, respectively. In this paper, the authors establish a relation between the Wiener numbers of Q n and \( B_n :W(Q_n ) = \tfrac{1} {4}[W(B_n ) - \tfrac{8} {3}n^3 + \tfrac{{14}} {3}n + 3] \). And the extremal quasi-polyomino chains with respect to the Wiener number are determined. Furthermore, several classes of polyomino chains with large Wiener numbers are ordered.
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This research is supported by the Natural Science Foundation of China under Grant No. 10371102.
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Xie, M., Zhang, F. Relation between wiener numbers of quasi-hexagonal chains and quasi-polyomino chains. J Syst Sci Complex 23, 873–882 (2010). https://doi.org/10.1007/s11424-010-7024-1
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DOI: https://doi.org/10.1007/s11424-010-7024-1