Applicable Analysis and Discrete Mathematics 2009 Volume 3, Issue 2, Pages: 330-335
doi:10.2298/AADM0902330A
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Chromatic zeros and generalized Fibonacci numbers

Alikhani Saeid, Peng Yee-Hock

In this article we consider the problem whether generalized Fibonacci constants can be zeros of chromatic polynomials. We prove that all 2n-anacci numbers and all their natural powers cannot be zeros of any chromatic polynomial. Also we investigate (2n + 1)-anacci numbers as chromatic zeros.

Keywords: Chromatic Zero, Fibonacci Numbers, n-anacci constants

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