The Goulden—Jackson cluster method: extensions, applications and implementations
J. R. Noonan, Doron Zeilberger · The Journal of Difference Equations and Applications · 1999
Th powerful (and so far under-utilized) Goulden—Jackson Cluster method for finding the generating function for the number of words avoiding, as factors, the members of a prescribed set of ‘dirty words’, is tutorialized and extended in various directions. The authors' Maple implementations, contained in several Maple packages available from this paper's website www.math.temple.edu/zeilberg/gj.html, ar described and explained.