The Beraha number B₁₀ is a chromatic root
classification
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berahachromaticnumberrootcompletedeterminationexamplesexhibits
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This note exhibits graphs whose chromatic polynomials have the Beraha number $B_{10} = (5 + \sqrt{5})/2$ as a root. It was previously known that no other non-integer Beraha number is a chromatic root, and so these examples complete the determination of precisely which Beraha numbers can be chromatic roots.
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