Some relations between Kekule structure and Morgan-Voyce polynomials

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چکیده مقاله:

In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B_n (x) Morgan-Voyce polynomial equal to the number of k-matchings (m(G,k)) of a path graph which has N=2n+1 points. Furtermore, two relations are obtained between regularly zig-zag nonbranched catacondensed benzenid chains and Morgan-Voyce polynomials and between regularly zig-zag nonbranched catacondensed benzenid chains and their corresponding caterpillar trees.

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عنوان ژورنال

دوره 8  شماره 2

صفحات  221- 229

تاریخ انتشار 2017-06-01

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