A bijective proof of the hook-length formula for standard immaculate tableaux [PDF]
, 2015 In this paper, we present a direct bijective proof of the hook-length formula for standard immaculate tableaux, which arose in the study of non-commutative symmetric functions.
Emily X. L. Gao, A. Yang
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Descent c-Wilf Equivalence [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Let $S_n$ denote the symmetric group. For any $\sigma \in S_n$, we let $\mathrm{des}(\sigma)$ denote the number of descents of $\sigma$, $\mathrm{inv}(\sigma)$ denote the number of inversions of $\sigma$, and $\mathrm{LRmin}(\sigma)$ denote the number of
Quang T. Bach, Jeffrey B. Remmel
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Does the group leader matter? The impact of monitoring activities and social ties of group leaders on the repayment performance of groupbased lending Eritrea [PDF]
, 2005 This paper analyzes whether the effects of monitoring and social ties of the group leader and other group members on repayment performance of groups differ, using data from an extensive questionnaire held in Eritrea among participants of 102 groups.
A Seltene +17 more
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New proofs of Schur-concavity for a class of symmetric functions
Journal of Inequalities and Applications, 2012 By properties of the Schur-convex function, Schur-concavity for a class of symmetric functions is simply proved uniform.2000 Mathematics Subject Classification: Primary 26D15; 05E05; 26B25.
Huan-Nan Shi, Jian Zhang, Chun Gu
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Division and the Giambelli Identity [PDF]
, 2005 Given two polynomials f(x) and g(x), we extend the formula expressing the remainder in terms of the roots of these two polynomials to the case where f(x) is a Laurent polynomial.
Wu, Susan Y. J., Yang, Arthur L. B.
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On perfect hashing of numbers with sparse digit representation via multiplication by a constant [PDF]
, 2011 Consider the set of vectors over a field having non-zero coefficients only in a fixed sparse set and multiplication defined by convolution, or the set of integers having non-zero digits (in some base $b$) in a fixed sparse set.
Monge, Maurizio
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A proof of a conjecture for the number of ramified coverings of the sphere by the torus [PDF]
, 1999 An explicit expression is obtained for the generating series for the number of ramified coverings of the sphere by the torus, with elementary branch points and prescribed ramification type over infinity.
Goulden, I. P., Jackson, D. M.
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Quasisymmetric expansions of Schur-function plethysms
, 2012 Let sμ denote a Schur symmetric function and Qα a fundamental quasisymmetric function. Explicit combinatorial formulas are developed for the fundamental quasisymmetric expansions of the plethysms sμ[sν ] and sμ[Qα], as well as for related plethysms ...
N. Loehr, Gregory S. Warrington
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Hilbert series of algebras associated to directed graphs [PDF]
, 2006 Few changes. We compute the Hilbert series of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials.Comment: AMSLaTeX, 9 ...
Retakh, Vladimir +2 more
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Schur-convexity of the complete symmetric function
, 2006 This paper investigates Schur-convexity of the complete symmetric function cr(x) = ∑ i1+...+in=r x i1 1 ...x in n and the function φr(x) = cr(x) cr−1(x) , where i1, ..., in are non-negative integers and r 1.
Kaizhong Guan
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