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math.CO2016
The Beraha number is a chromatic root
Gordon Royle
This note exhibits graphs whose chromatic polynomials have the Beraha number as a root. It was previously known that no other non-integer Beraha number…
math.GR2016★ 16 cited
Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5
Joanna B. Fawcett, Michael Giudici, Cai Heng Li +3
We classify finite primitive permutation groups having a suborbit of length 5. As a corollary, we obtain a classification of finite vertex-primitive graphs of valency 5. In the pro…