Results 1 to 10 of about 2,635 (165)
Row-strict quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the $\textit{quasisymmetric Schur function basis}$ which are generated combinatorially through fillings of composition diagrams in much the same way as ...
Sarah K Mason, Jeffrey Remmel
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Quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We introduce a new basis for the algebra of quasisymmetric functions that naturally partitions Schur functions, called quasisymmetric Schur functions.
James Haglund +3 more
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LLT polynomials, chromatic quasisymmetric functions and graphs with cycles [PDF]
, 2018 We use a Dyck path model for unit-interval graphs to study the chromatic quasisymmetric functions introduced by Shareshian and Wachs, as well as vertical strip --- in particular, unicellular LLT polynomials.
Per Alexandersson, Greta Panova
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Quasisymmetric (k,l)-hook Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a quasisymmetric generalization of Berele and Regev's hook Schur functions and prove that these new quasisymmetric hook Schur functions decompose the hook Schur functions in a natural way.
Sarah Mason, Elizabeth Niese
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Riffle shuffles with biased cuts [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 The well-known Gilbert-Shannon-Reeds model for riffle shuffles assumes that the cards are initially cut `about in half' and then riffled together. We analyze a natural variant where the initial cut is biased. Extending results of Fulman (1998), we show a
Sami Assaf +2 more
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A note on three types of quasisymmetric functions [PDF]
, 2005 In the context of generating functions for $P$-partitions, we revisit three flavors of quasisymmetric functions: Gessel's quasisymmetric functions, Chow's type B quasisymmetric functions, and Poirier's signed quasisymmetric functions. In each case we use
T. Kyle Petersen
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Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric func- tions are decomposed into Young quasisymmetric Schur functions. We prove this using an analogue of Schensted insertion.
Edward Allen, Joshua Hallam, Sarah Mason
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Quasisymmetric functions from combinatorial Hopf monoids and Ehrhart Theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We investigate quasisymmetric functions coming from combinatorial Hopf monoids. We show that these invariants arise naturally in Ehrhart theory, and that some of their specializations are Hilbert functions for relative simplicial complexes. This class of
Jacob White
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Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce explicit combinatorial interpretations for the coefficients in some of the transition matrices relating to skew Hall-Littlewood polynomials $P_{\lambda / \mu}(x;t)$ and Hivert's quasisymmetric Hall-Littlewood polynomials $G_{\gamma}(x;t ...
Nicolas Loehr +2 more
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Symmetric Fundamental Expansions to Schur Positivity [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We consider families of quasisymmetric functions with the property that if a symmetric function f is a positive sum of functions in one of these families, then f is necessarily a positive sum of Schur functions.
Austin Roberts
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