Chromatic roots and fibonacci numbers
Seminar Room 1, Newton Institute
We prove that all natural power of golden ratio, cannot be a root of any chromatic polynomial.
We also consider generalized Fibonacci sequences and prove that all 2n-anacci constants and all natural powers of them cannot be root of any chromatic polynomial. Finally, we introduce new numbers related to n-annaci numbers and ask a question similar to Beraha question.
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