On the Modes of the Independence Polynomial of the Centipede

نویسنده

  • Moussa Benoumhani
چکیده

The independence polynomial of the graph called the centipede has only real zeros. It follows that this polynomial is log-concave, and hence unimodal. Levit and Mandrescu gave a conjecture about the mode of this polynomial. In this paper, the exact value of the mode is determined, and some central limit theorems for the sequence of the coefficients are established.

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تاریخ انتشار 2012