Open AccessChromatic zeros and the golden ratio
Author(s) -
Saeid Alikhani,
Yee-Hock Peng
Publication year - 2009
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm0901120a
Subject(s) - mathematics , fibonacci number , chromatic scale , golden ratio , combinatorics , geometry
In this note, we investigate $au^n$, where au=fracc{1+sqrt{5}}{2}$is the golden ratio as chro-matic roots. Using some properties of {sc Fibonacci} numbers, we prove that $au^n (nin mathbb{N})$, cannot be roots of any chromatic polynomial
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