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Formal Power Series and Algebraic Combinatorics

Edited by Daniel Krob (), Alexander A. Mikhalev () and Alexander V. Mikhalev ()

in Springer Books from Springer

Date: 2000
ISBN: 978-3-662-04166-6
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Chapters in this book:

Exact Asymptotics of Meander Numbers
P. Di Francesco
Algorithms of Integral Representation of Combinatorial Sums and Their Applications
G. P. Egorychev
Quasi-Symmetric Functions
Michiel Hazewinkel
Equations over Free and Fully Residually Free Groups
Olga Kharlampovich
Recurring Sequences
Alexandr A. Nechaev
On Modules Supported in the Nullcone
Mark Shimozono
Towards Topological Classification of Univariate Complex Polynomials
Alexander Zvonkin
Applicability of Zeilberger’s Algorithm to Rational Functions
S. A. Abramov and H. Q. Le
Bases explicites et conjecture n!
Jean-Christophe Aval
A Generalized Cover Time for Random Walks on Graphs
Cyril Banderier and Robert P. Dobrow
On the Square Root of Languages
A. Bertoni and P. Massazza
A General Cyclic Lemma for Multiset Permutation Inversions
Sara Brunetti, Alberto Del Lungo and Francesco Del Ristoro
Enumeration of Some Labelled Trees
Cedric Chauve, Serge Dulucq and Olivier Guibert
On Aperiodic and Star-free Formal Power Series in Partially Commuting Variables
Manfred Droste and Paul Gastin
Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions
Gérard Duchamp, Florent Hivert and Jean-Yves Thibon
The Skeleton of a Reduced Word and a Correspondence of Edelman and Greene
Stefan Felsner
Analytic Combinatorics of Chord Diagrams
Philippe Flajolet and Marc Noy
Specifying 2-trees
Tom Fowler, Ira Gessel, Gilbert Labelle and Pierre Leroux
About the Dynamics of Some Systems Based on Integer Partitions and Compositions
Eric Goles, Michel Morvan and Ha Duong Phan
Hecke Algebras of Type A at q = 0 and Quasi-differential Operators
Artem Yu. Golubkov and Roberto Mantaci
Central Characters and Conjugacy Classes of the Symmetric Group or On some Conjectures of J. Katriel
Alain Goupil, Dominique Poulalhon and Gilles Schaeffer
The Füredi-Hajnal Conjecture Implies the Stanley-Wilf Conjecture
Martin Klazar
Generalized Integer Partitions, Tilings of Zonotopes and Lattices
Matthieu Latapy
Topology of Colors (Extended Abstract)
Svante Linusson and John Shareshian
The Number of Subgroups in the Fundamental Groups of Some Non-orientable 3-Manifolds
Valery Liskovets and Alexander Mednykh
Unranking of Labelled Combinatorial Structures
Conrado Martínez and Xavier Molinero
On Gelfand-Tsetlin Bases for Representations of Classical Lie Algebras
A. I. Molev
A Common Asymptotic Behavior for Different Classes of Sparse Labelled Graphs with Given Number of Vertices and Edges
Vlady Ravelomanana and Loÿs Thimonier
On Functions Which are Limits of Domino Tilings
Eric Rémila
Jeux de tableaux
Tom Roby, Frank Sottile, Jeffrey Stroomer and Julian West
The Kronecker Product of Schur Functions Indexed by Two-Row Shapes or Hook Shapes
Mercedes H. Rosas
Special Formal Series Solutions of Linear Ordinary Differential Equations
A. Ryabenko
New Expressions for Level-restricted Kostka Polynomials
Anne Schilling and Mark Shimozono
A Combinatorial Interpretation of the Quotient-Difference Algorithm
Xavier Gérard Viennot
Regular Unicellular Dessins d’Enfants and Weil Curves
Natalia Amburg
Quantum Division Ring
A. A. Artamonov
On the Integer Models of Plane Trees
Julia Darevskaya
Congruences Compatible with the Shuffle Product
Gérard Duchamp and Jean-Gabriel Luque
Arithmetical Properties of [p k ]-Series Associated to p-Typical Formal Group Laws and Applications
Jesús Gonzalez
A Note on Linear Preservers of a Certain Matrix Partial Order
Alexander Guterman
Trees of Diameter 4
Yu. Yu. Kochetkov
The Makar-Limanov’s Construction of Algebraically Closed Skew Field via Mal’cev—Newmann Series
P. S. Kolesnikov
About Nilpotency of Engel Algebras
N. A. Koreshkov and D. U. Haritonov
Belyi Functions Related to Plane Graphs: Multiplicities and Parasitic Solutions
Elena Kreines
Construction of the Annihilator of a Linear Recurring Sequence over Finite Module with the help of the Berlekamp-Massey Algorithm
V. L. Kurakin
Polylinear Recurring Sequences over a Bimodule
V. L. Kurakin, A. V. Mikhalev and A. A. Nechaev
An Improved Version of Standard Bases
V. N. Latyshev
Effective Matrix Methods in Commutative Domains
Gennadi I. Malaschonok
Polylinear Shift Registers and Standard Bases
D. A. Mikhailov
Burnside Matrices and Subgroup Embeddings in Finite Groups
V. I. Mysovskikh
Distribution of Elements on Cycles of Linear Recurrences over Galois Field
A. S. Nelubin
On Witt’s Formula and Invariants for Free Lie Superalgebras
V. M. Petrogradsky
Gröbner-Shirshov Bases for Kac-Moody Algebras A n (1) and B n (1)
Evgeniy Poroshenko
On Some Classes of Linear Representable Matroids
A. M. Revyakin
On a Class of Families of Belyi Functions
G. Shabat
Finite Basis Property of S-Ideals of Finite Dimensional Forms
V. V. Shchigolev
Peak Reduction Technique in Commutative Algebra
Vladimir Shpilrain and Jie-Tai Yu
On Algebraic Degrees and Multiplicities for Parameters of Some Finite Group Rings
K. P. Shum and S. P. Strunkov
Some Ring and Module Properties of Skew Power Series
Askar A. Tuganbaev
Some Ring and Module Properties of Skew Laurent Series
Diar A. Tuganbaev
Extending a Partially Ordered Set: Links with its Lattice of Ideals
Philippe Baldy, Michel Morvan and Eric Thierry
From Rational Functions to Regular Languages
Elena Barcucci, Alberto Del Lungo, Andrea Frosini and Simone Rinaldi
Proving a Class of Hypergeometric Identities by means of Generating Functions
Susanna Brogelli, Donatella Merlini and Renzo Sprugnoli
Séries génératrices exponentielles pour les ECO-systèmes signés
Sylvie Corteel
New Statistics on Non-crossing Trees
Emeric Deutsch and Marc Noy
Expected Number of Inversions After a Sequence of Random Adjacent Transpositions
Henrik Eriksson, Kimmo Eriksson and Jonas Sjöstrand
The Variety of Associative Rings, Which Satisfy the Identity x 32 = 0, Is Not Specht
A. V. Grishin
Polynomials of Bounded Tree Width (Extended Abstract)
J. A. Makowsky and K. Meer
Permutations Containing and Avoiding Certain Patterns
Toufik Mansour
On the Center of the Quantum Pseudoplactic Algebra
J.-C. Novelli and E. Vassilieva
ECO-Approximation of Algebraic Functions
Elisa Pergola, Renzo Pinzani and Simone Rinaldi
Methods for Computing the Concurrency Degree of Commutation Monoids
Nasser Saheb and Akka Zemmari
An Application of Dumont’s Statistic
M. Skandera
On Wohlfahrt Formula for Finite Abelian Groups
Yugen Takegahara
Induction and Auslander-Reiten Sequences Over Crossed Products
Th. Theohari-Apostolidi and H. Vavatsoulas
On Acceleration of Multiprecision Computation of Products and Sums of Products of Rational Numbers
Eugene V. Zima
Combinatorial Aspects of Capelli Identities and Structure of Algebras
K. A. Zubrilin
Generators and the Template Method Pattern. A Paradigm for Combinatorial Experimentation
Marc Espie
A Software to Solve Strip Tiling Problems
Luca Martinelli, Donatella Merlini, Romina Rocchini, Angela Romoli and Cecilia Verri

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DOI: 10.1007/978-3-662-04166-6

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