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Chromatic roots and fibonacci numbers

Date: 
Monday 21st January 2008 - 15:30 to 16:00
Venue: 
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons