Results 71 to 80 of about 2,701,787 (159)

Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions [PDF]

, 2016
International audienceWe 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.
Hallam, Joshua, Allen, Edward,, Mason, Sarah,   +2 more
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Chromatic Quasisymmetric Functions of the Path Graph

Annals of Combinatorics
Abstract We show that the chromatic quasisymmetric function (CQF) of a labeled path graph on n vertices is not symmetric unless the labeling is the natural labeling $$1, 2,\ldots , n$$ 1 , 2 ,
Farid Aliniaeifard, Shamil Asgarli, Maria Esipova, Ethan Shelburne, Stephanie van Willigenburg, Tamsen Whitehead McGinley   +5 more
openaire   +2 more sources

On the quasisymmetric functions in superspace

Quasisymmetric functions in superspace were introduced as a natural extension of classical quasisymmetric functions involving both commuting and anticommuting variables. In this paper, we first provide a characterization of the algebra of quasisymmetric functions in superspace as an algebra of invariants under a quasisymmetrizing action of the ...
Arcis, Diego, González, Camilo, Márquez, Sebastián   +2 more
openaire   +2 more sources

When is the Chromatic Quasisymmetric Function Symmetric?

Algebraic Combinatorics
We investigate the problem of when a chromatic quasisymmetric function (CQF) X G ( x
Gillespie, Maria, Pappe, Joseph, Salois, Kyle   +2 more
openaire   +2 more sources

Short-Range Effects in the Special Pair of Photosystem II Reaction Centers: The Nonconservative Nature of Circular Dichroism. [PDF]

J Phys Chem Lett, 2023
Gemeinhardt FG, Lahav Y, Schapiro I, Noy D, Müh F, Lindorfer D, Renger T.   +6 more
europepmc   +1 more source

Multiplication Rules for Schur and Quasisymmetric Schur Functions [PDF]

, 2015
An important problem in algebraic combinatorics is finding expansions of products of symmetric functions as sums of symmetric functions. Schur functions form a well-known basis for the ring of symmetric functions.
Anderson, Jennifer
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Crystal structure of LGR ligand α2/β5 from Caenorhabditis elegans with implications for the evolution of glycoprotein hormones. [PDF]

Proc Natl Acad Sci U S A, 2023
Gong Z, Wang W, El Omari K, Lebedev AA, Clarke OB, Hendrickson WA.   +5 more
europepmc   +1 more source

Random walks on quasisymmetric functions

Advances in Mathematics, 2009
Conditions are provided under which an endomorphism on quasisymmetric functions gives rise to a left random walk on the descent algebra which is also a lumping of a left random walk on permutations. Spectral results are also obtained. Several well-studied random walks are now realized this way: Stanley's QS-distribution results from endomorphisms given
Hersh, Patricia, Hsiao, Samuel K.
openaire   +2 more sources

Pattern Hopf Algebras. [PDF]

Ann Comb, 2022
Penaguiao R.
europepmc   +1 more source

Chromatic quasisymmetric functions of digraphs [PDF]

The chromatic quasisymmetric function of a digraph is a quasisymmetric function associated with the digraph that describes some of its properties. It generalizes the chromatic symmetric function of the graph, which generalizes the chromatic polynomial of
Fusco, Giacomo
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