Abstract
Let H be a hexagonal chain. Gutman [I. Gutman, Topological properties of benzenoid systems, Theor. Chim. Acta, 45 (1977), 307–315.] proved that there exists a caterpillar tree T(H) such that the number of Kekulé structures of H is equal to the Hosoya index of T(H). In this note, we show that, for a polyomino chain Q, there exists a corresponding caterpillar tree C(Q) such that the number of Kekulé structures of Q is equal to the Hosoya index of C(Q).
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