On z-factorization and c-factorization of standard episturmian words

Ziv–Lempel and Crochemore factorization are two kinds of factorizations of words related to text processing. In this paper, we find these factorizations for standard epiesturmian words. Thus the previously known c-factorization of characteristic Sturmian words is provided as a special case. Moreover, the two factorizations are compared.