A Polynomial of a graph which counts the number of ways to color with exactly colors. Tutte
(1970) showed that the chromatic Polynomials of planar triangular graphs possess a Root close
to
, where is the Golden Mean. More precisely, if is the number of Vertices of
, then
References
Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 46, 1983.
Tutte, W. T. ``On Chromatic Polynomials and the Golden Ratio.'' J. Combin. Th. 9, 289-296, 1970.