Relation between wiener numbers of quasi-hexagonal chains and quasi-polyomino chains

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Let Qn and Bn 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 Qn 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.