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A generalization of Chebyshev polynomials and non rooted posets

Combinatorics 2007-05-23 v2

Abstract

In this paper we give a generalization of Chebyshev polynomials and using this we describe the M\"obius function of the generalized subword order from a poset {a1,...as,c |ai<c}, which contains an affirmative answer for the conjecture by Bj\"orner, Sagan, Vatter.[5,10]

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Cite

@article{arxiv.0704.0685,
  title  = {A generalization of Chebyshev polynomials and non rooted posets},
  author = {Masaya Tomie},
  journal= {arXiv preprint arXiv:0704.0685},
  year   = {2007}
}

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11pages