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CSM

Seminar

Chromatic roots and fibonacci numbers

Alikhani, S (Inspem, University Putra Malaysia)
Monday 21 January 2008, 15:30-16:00

Seminar Room 1, Newton Institute

Abstract

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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