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The Goulden-Jackson Cluster Method: Extensions, Applications and Implementations

John Noonan·Doron Zeilberger
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Abstract

The 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 (http://www.math.temple.edu/~zeilberg/gj.html), are described and explained.

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BibTeXRIS

John Noonan, Doron Zeilberger. 1998-06-08. The Goulden-Jackson Cluster Method: Extensions, Applications and Implementations. https://arxiv.org/abs/math/9806036

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