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The combinatorics of Jeff Remmel (Q5056195)

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scientific article; zbMATH DE number 7628163

Language	Label	Description	Also known as
English	The combinatorics of Jeff Remmel	scientific article; zbMATH DE number 7628163

Statements

scholarly article

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The combinatorics of Jeff Remmel (English)

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Enumerative Combinatorics and Applications

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publication date

7 December 2022

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full work available at URL

https://arxiv.org/abs/2102.07269

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MaRDI profile type

MaRDI publication profile

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Generating functions for descents over permutations which avoid sets of consecutive patterns

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Bijections on \(m\)-level rook placements

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\(m\)-level rook placements

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The combinatorics of transition matrices between the bases of the symmetric functions and the \(B_ n\) analogues

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(2+2)-free posets, ascent sequences and pattern avoiding permutations

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\(m\)-rook numbers and a generalization of a formula of Frobenius to \(C_m \wr \mathcal S_n\)

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A \(p,q\)-analogue of the generalized derangement numbers

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Trace cocharacters and the Kronecker products of Schur functions

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A combinatorial proof of the equivalence of the classical and combinatorial definitions of Schur function

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A combinatorial rule for the schur function expansion of the Plethysm<i>S</i>(1<sup><i>a</i></sup>,<i>b</i>)[<i>P<sub>k</sub></i>]

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Formulas for the expansion of the plethysms \(s_ 2[s_{(a,b)}]\) and \(s_ 2[s_{(n^ k)}]\).

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On \(k\)-\(11\)-representable graphs

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Enumerating \((2 + 2)\)-free posets by indistinguishable elements

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Bijections for Cayley trees, spanning trees, and their q-analogues

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A combinatorial interpretation of the inverse kostka matrix

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Brick tabloids and the connection matrices between bases of symmetric functions

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A CLASS OF GRAPHS WHICH HAS EFFICIENT RANKING AND UNRANKING ALGORITHMS FOR SPANNING TREES AND FORESTS

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A combinatorial proof of the Giambelli identity for Schur functions

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A combinatorial interpretation of q-derangement and q-Laguerre numbers

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Shuffles of permutations and the Kronecker product

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Q-counting rook configurations and a formula of Frobenius

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Statistics on wreath products, perfect matchings, and signed words

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Rook theory for perfect matchings

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Cycles and perfect matchings.

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\(p\)-rook numbers and cycle counting in \(C_p \wr S_n\)

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The classification of 231-avoiding permutations by descents and maximum drop

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Representing graphs via pattern avoiding words

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A reciprocity method for computing generating functions over the set of permutations with no consecutive occurrence of a permutation pattern

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Patterns in permutations and words.

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Classifying descents according to equivalence \(\operatorname{mod} k\)

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Place-Difference-Value Patterns: A Generalization of Generalized Permutation and Word Patterns

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Enumerating \((\mathbf 2+\mathbf 2)\)-free posets by the number of minimal elements and other statistics

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Simple marked mesh patterns

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Quadrant marked mesh patterns in alternating permutations

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Quadrant marked mesh patterns in alternating permutations. II

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\((a, b)\)-rectangle patterns in permutations and words

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A note on \(p\)-ascent sequences

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Quadrant marked mesh patterns in 132-avoiding permutations I

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Quadrant marked mesh patterns in 132-avoiding permutations II

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Quadrant marked mesh patterns in 132-avoiding permutations III

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Generating functions for Wilf equivalence under generalized factor order

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The plethysm \(s_\lambda[s_\mu]\) at hook and near-hook shapes

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Generating functions for permutations avoiding a consecutive pattern

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Rook-by-rook rook theory: Bijective proofs of rook and hit equivalences

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A computational and combinatorial exposé of plethystic calculus

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Permutations and words counted by consecutive patterns

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Counting with symmetric functions

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A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\)

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Augmented rook boards and general product formulas

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Counting consecutive pattern matches in \(\mathcal{S}_n(132)\) and \(\mathcal{S}_n(123)\)

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Quadrant marked mesh patterns in 123-avoiding permutations

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Schur function expansions and the rational shuffle theorem

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Classical pattern distributions in $\mathcal{S}_{n}(132)$ and $\mathcal{S}_{n}(123)$

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Combinatorics of the \(q\)-basis of symmetric functions

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Bijective proofs of formulae for the number of standard Yound tableaux

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Bijective proofs of some classical partition identities

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Permutation statistics and \((k,\ell)\)-hook Schur functions

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A formula for the Kronecker products of Schur functions of hook shapes

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A bijective proof of a factorization theorem for (<i>k,l</i>)-hook schur functions

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Combinatorial algorithms for the expansion of various products of Schur functions

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Formulas for the expansion of the Kronecker products \(S_{(m,n)} \otimes{}S_{(1^{p-r},r)}\) and \(S_{(1^ k2^ l)} \otimes{}S_{(1^{p-r},r)}\)

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Consecutive up-down patterns in up-down permutations

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A simple proof of the Littlewood-Richardson rule and applications.

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Rook theory, generalized {S}tirling numbers and {\((p,q)\)}-analogues

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On the Kronecker product of Schur functions of two row shapes

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Transition matrices and kronecker product expansions of symmetric functions

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A bijective proof of the Hook formula for the number of column strict tableaux with bounded entries

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A bijective proof of the generating function for the number of reverse plane partitions via lattice paths

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Multiplying Schur functions

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Block patterns in Stirling permutations

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Special Rim Hook Tabloids and Some New Multiplicity-Free <i>S</i>-Series

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Hook-Schur functions analogues of Littlewood's identities and their bijective proofs

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Identifiers

zbMATH Open document ID

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10.54550/ECA2021V1S2H2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5056195

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