Chromatic roots and fibonacci numbers
About this item
| Description: |
Alikhani, S (Inspem, University Putra Malaysia)
Monday 21 January 2008, 15:30-16:00 Zeros of Graph Polynomials |
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| Created: | 2008-01-30 21:44 | ||||
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| Collection: | Combinatorics and Statistical Mechanics | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Alikhani, S | ||||
| Language: | eng (English) | ||||
| Credits: |
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| 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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