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Formal Power Series and Algebraic Combinatorics

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Cover of 'Formal Power Series and Algebraic Combinatorics'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Exact Asymptotics of Meander Numbers
  3. Altmetric Badge
    Chapter 2 Algorithms of Integral Representation of Combinatorial Sums and Their Applications
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    Chapter 3 Quasi-Symmetric Functions
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    Chapter 4 Equations over Free and Fully Residually Free Groups
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    Chapter 5 Recurring Sequences
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    Chapter 6 On Modules Supported in the Nullcone
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    Chapter 7 Towards Topological Classification of Univariate Complex Polynomials
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    Chapter 8 Applicability of Zeilberger’s Algorithm to Rational Functions
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    Chapter 9 Bases explicites et conjecture n !
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    Chapter 10 A Generalized Cover Time for Random Walks on Graphs
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    Chapter 11 On the Square Root of Languages
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    Chapter 12 A General Cyclic Lemma for Multiset Permutation Inversions
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    Chapter 13 Enumeration of Some Labelled Trees
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    Chapter 14 On Aperiodic and Star-free Formal Power Series in Partially Commuting Variables
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    Chapter 15 Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions
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    Chapter 16 The Skeleton of a Reduced Word and a Correspondence of Edelman and Greene
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    Chapter 17 Analytic Combinatorics of Chord Diagrams
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    Chapter 18 Specifying 2-trees
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    Chapter 19 About the Dynamics of Some Systems Based on Integer Partitions and Compositions
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    Chapter 20 Hecke Algebras of Type A at q = 0 and Quasi-differential Operators
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    Chapter 21 Central Characters and Conjugacy Classes of the Symmetric Group or On some Conjectures of J. Katriel
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    Chapter 22 The Füredi-Hajnal Conjecture Implies the Stanley-Wilf Conjecture
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    Chapter 23 Generalized Integer Partitions, Tilings of Zonotopes and Lattices
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    Chapter 24 Topology of Colors (Extended Abstract)
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    Chapter 25 The Number of Subgroups in the Fundamental Groups of Some Non-orientable 3-Manifolds
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    Chapter 26 Unranking of Labelled Combinatorial Structures
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    Chapter 27 On Gelfand-Tsetlin Bases for Representations of Classical Lie Algebras
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    Chapter 28 A Common Asymptotic Behavior for Different Classes of Sparse Labelled Graphs with Given Number of Vertices and Edges
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    Chapter 29 On Functions Which are Limits of Domino Tilings
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    Chapter 30 Jeux de tableaux
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    Chapter 31 The Kronecker Product of Schur Functions Indexed by Two-Row Shapes or Hook Shapes
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    Chapter 32 Special Formal Series Solutions of Linear Ordinary Differential Equations
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    Chapter 33 New Expressions for Level-restricted Kostka Polynomials
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    Chapter 34 A Combinatorial Interpretation of the Quotient-Difference Algorithm
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    Chapter 35 Regular Unicellular Dessins d’Enfants and Weil Curves
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    Chapter 36 Quantum Division Ring
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    Chapter 37 On the Integer Models of Plane Trees
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    Chapter 38 Congruences Compatible with the Shuffle Product
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    Chapter 39 Arithmetical Properties of [ p k ]-Series Associated to p -Typical Formal Group Laws and Applications
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    Chapter 40 A Note on Linear Preservers of a Certain Matrix Partial Order
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    Chapter 41 Trees of Diameter 4
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    Chapter 42 The Makar-Limanov’s Construction of Algebraically Closed Skew Field via Mal’cev—Newmann Series
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    Chapter 43 About Nilpotency of Engel Algebras
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    Chapter 44 Belyi Functions Related to Plane Graphs: Multiplicities and Parasitic Solutions
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    Chapter 45 Construction of the Annihilator of a Linear Recurring Sequence over Finite Module with the help of the Berlekamp-Massey Algorithm
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    Chapter 46 Polylinear Recurring Sequences over a Bimodule
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    Chapter 47 An Improved Version of Standard Bases
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    Chapter 48 Effective Matrix Methods in Commutative Domains
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    Chapter 49 Polylinear Shift Registers and Standard Bases
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    Chapter 50 Burnside Matrices and Subgroup Embeddings in Finite Groups
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    Chapter 51 Distribution of Elements on Cycles of Linear Recurrences over Galois Field
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    Chapter 52 On Witt’s Formula and Invariants for Free Lie Superalgebras
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    Chapter 53 Gröbner-Shirshov Bases for Kac-Moody Algebras A n (1) and B n (1)
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    Chapter 54 On Some Classes of Linear Representable Matroids
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    Chapter 55 On a Class of Families of Belyi Functions
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    Chapter 56 Finite Basis Property of S-Ideals of Finite Dimensional Forms
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    Chapter 57 Peak Reduction Technique in Commutative Algebra
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    Chapter 58 On Algebraic Degrees and Multiplicities for Parameters of Some Finite Group Rings
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    Chapter 59 Some Ring and Module Properties of Skew Power Series
  61. Altmetric Badge
    Chapter 60 Some Ring and Module Properties of Skew Laurent Series
  62. Altmetric Badge
    Chapter 61 Extending a Partially Ordered Set: Links with its Lattice of Ideals
  63. Altmetric Badge
    Chapter 62 From Rational Functions to Regular Languages
  64. Altmetric Badge
    Chapter 63 Proving a Class of Hypergeometric Identities by means of Generating Functions
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    Chapter 64 Séries génératrices exponentielles pour les ECO-systèmes signés
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    Chapter 65 New Statistics on Non-crossing Trees
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    Chapter 66 Expected Number of Inversions After a Sequence of Random Adjacent Transpositions
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    Chapter 67 The Variety of Associative Rings, Which Satisfy the Identity x 32 = 0, Is Not Specht
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    Chapter 68 Polynomials of Bounded Tree Width (Extended Abstract)
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    Chapter 69 Permutations Containing and Avoiding Certain Patterns
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    Chapter 70 On the Center of the Quantum Pseudoplactic Algebra
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    Chapter 71 ECO-Approximation of Algebraic Functions
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    Chapter 72 Methods for Computing the Concurrency Degree of Commutation Monoids
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    Chapter 73 An Application of Dumont’s Statistic
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    Chapter 74 On Wohlfahrt Formula for Finite Abelian Groups
  76. Altmetric Badge
    Chapter 75 Induction and Auslander-Reiten Sequences Over Crossed Products
  77. Altmetric Badge
    Chapter 76 On Acceleration of Multiprecision Computation of Products and Sums of Products of Rational Numbers
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    Chapter 77 Combinatorial Aspects of Capelli Identities and Structure of Algebras
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    Chapter 78 Generators and the Template Method Pattern. A Paradigm for Combinatorial Experimentation
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    Chapter 79 A Software to Solve Strip Tiling Problems
Attention for Chapter 17: Analytic Combinatorics of Chord Diagrams
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Chapter title
Analytic Combinatorics of Chord Diagrams
Chapter number 17
Book title
Formal Power Series and Algebraic Combinatorics
Published by
Springer, Berlin, Heidelberg, January 2000
DOI 10.1007/978-3-662-04166-6_17
Book ISBNs
978-3-64-208662-5, 978-3-66-204166-6
Authors

Philippe Flajolet, Marc Noy, Flajolet, Philippe, Noy, Marc

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 14 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 14 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 5 36%
Student > Master 3 21%
Professor > Associate Professor 2 14%
Student > Doctoral Student 1 7%
Student > Ph. D. Student 1 7%
Other 0 0%
Unknown 2 14%
Readers by discipline Count As %
Physics and Astronomy 4 29%
Mathematics 3 21%
Earth and Planetary Sciences 2 14%
Computer Science 1 7%
Agricultural and Biological Sciences 1 7%
Other 2 14%
Unknown 1 7%