Rationality of the Möbius function of subword order

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Rationality of the Möbius function of a composition poset

We consider the zeta and Möbius functions of a partial order on integer compositions first studied by Bergeron, Bousquet-Mélou, and Dulucq. The Möbius function of this poset was determined by Sagan and Vatter. We prove rationality of various formal power series in noncommuting variables whose coefficients are evaluations of the zeta function, ζ, and the Möbius function, μ. The proofs are either...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 1992

ISSN: 0304-3975

DOI: 10.1016/0304-3975(92)90379-t