The Beraha constants are a series of mathematical constants by which the Beraha constant is given by
Notable examples of Beraha constants include is , where is the golden ratio, is the silver constant (also known as the silver root), and .
The following table summarizes the first ten Beraha constants. Approximately1420314252.6186373.24783.41493.532103.618
See also Chromatic polynomial
Notes
References
Beraha, S. Ph.D. thesis. Baltimore, MD: Johns Hopkins University, 1974. Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 143, 1983. Saaty, T. L. and Kainen, P. C. The Four-Color Problem: Assaults and Conquest. New York: Dover, pp. 160–163, 1986. Tutte, W. T. "Chromials." University of Waterloo, 1971. Tutte, W. T. "More about Chromatic Polynomials and the Golden Ratio." In Combinatorial Structures and their Applications: Proc. Calgary Internat. Conf., Calgary, Alberta, 1969. New York: Gordon and Breach, p. 439, 1969. Tutte, W. T. "Chromatic Sums for Planar Triangulations I: The Case ," Research Report COPR 72–7, University of Waterloo, 1972a. Tutte, W. T. "Chromatic Sums for Planar Triangulations IV: The Case ." Research Report COPR 72–4, University of Waterloo, 1972b.