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Chromatic Sums for Rooted Planar Triangulations, V: Special Equations

Published online by Cambridge University Press:  20 November 2018

W. T. Tutte
W. T. Tutte*
Affiliation:
University of Waterloo, Waterloo, Ontario
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In I we obtained an equation, called the "chromatic equation", for the generating function g(x, y, z, λ). In II and III we obtained special equations, valid in the cases λ = τ + 1 and λ = 3 respectively, for the generating function l(y, z, λ), defined as the coefficient of x2 in g(x, y, z, λ). The argument was independent of that in I and no attempt was made to derive the new formulae from the chromatic equation.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 4 , August 1974 , pp. 893 - 907
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Hall, D. W. and Lewis, D. C., Coloring six-rings, Trans. Amer. Math. Soc. 64 (1948), 184–191.Google Scholar