A Generalization of the Chebyshev Polynomials and Nonrooted Posets

被引：2
|
作者：
Tomie, Masaya [1 ]
机构：
[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2010年 / 2010卷 / 05期
关键词：
MOBIUS FUNCTION; RATIONALITY;
D O I：
10.1093/imrn/rnp158
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we give a generalization of the Chebyshev polynomials of the first kind. Then we describe a Mobius function of the generalized subword order over P-s S is an element of N. These results give the affirmative answer for the conjecture proposed in [A. Bjorner and B. Sagan, "Rationality of the Mobius function of the composition poset," Theoretical Computer Science 359, no. 1-3 (2006): 282-98.] and [B. Sagan and V. Vatter, "The Mobius function of the composition poset," Journal of Algebraic Combinatorics 24, no. 2 (2006): 117-36].
引用
收藏
页码：856 / 881
页数：26
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