Formal Power Series and Algebraic Combinatorics
Springer Berlin (Verlag)
978-3-540-67247-0 (ISBN)
Exact Asymptotics of Meander Numbers.- Algorithms of Integral Representation of Combinatorial Sums and Their Applications.- Quasi-Symmetric Functions.- Equations over Free and Fully Residually Free Groups.- Recurring Sequences.- On Modules Supported in the Nullcone.- Towards Topological Classification of Univariate Complex Polynomials.- Applicability of Zeilberger's Algorithm to Rational Functions.- Bases explicites et conjecture n!.- A Generalized Cover Time for Random Walks on Graphs.- On the Square Root of Languages.- A General Cyclic Lemma for Multiset Permutation Inversions.- Enumeration of Some Labelled Trees.- On Aperiodic and Star-free Formal Power Series in Partially Commuting Variables.- Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions.- The Skeleton of a Reduced Word and a Correspondence of Edelman and Greene.- Analytic Combinatorics of Chord Diagrams.- Specifying 2-trees.- About the Dynamics of Some Systems Based on Integer Partitions and Compositions.- Hecke Algebras of Type A at q = 0 and Quasi-differential Operators.- Central Characters and Conjugacy Classes of the Symmetric Group.- The Füredi-Hajnal Conjecture Implies the Stanley-Wilf Conjecture.- Generalized Integer Partitions, Tilings of Zonotopes and Lattices.- Topology of Colors.- The Number of Subgroups in the Fundamental Groups of Some Non-orientable 3-Manifolds.- Unranking of Labelled Combinatorial Structures.- On Gelfand-Tsetlin Bases for Representations of Classical Lie Algebras.- A Common Asymptotic Behavior for Different Classes of Sparse Labelled Graphs with Given Number of Vertices and Edges.- On Functions Which are Limits of Domino Tilings.- Jeux de tableaux.- The Kronecker Product of Schur Functions Indexed by Two-Row Shapes or Hook Shapes.-Special Formal Series Solutions of Linear Ordinary Differential Equations.- New Expressions for Level-restricted Kostka Polynomials.- A Combinatorial Interpretation of the Quotient-Difference Algorithm.- Regular Unicellular Dessins d'Enfants and Weil Curves.- Quantum Division Ring.- On the Integer Models of Plane Trees.- Congruences Compatible with the Shuffle Product.- Arithmetical Properties of [pk]-Series Associated to p-Typical Formal Group Laws and Applications.- A Note on Linear Preservers of a Certain Matrix Partial Order.- Trees of Diameter 4.- The Makar-Limanov's Construction of Algebraically Closed Skew Field via Mal'cev-Newmann Series.- About Nilpotency of Engel Algebras.- Belyi Functions Related to Plane Graphs: Multiplicities and Parasitic Solutions.- Construction of the Annihilator of a Linear Recurring Sequence over Finite Module with the help of the Berlekamp-Massey Algorithm.- Polylinear Recurring Sequences over a Bimodule.- An Improved Version of Standard Bases.- Effective Matrix Methods in Commutative Domains.- Polylinear Shift Registers and Standard Bases.- Burnside Matrices and Subgroup Embeddings in Finite Groups.- Distribution of Elements on Cycles of Linear Recurrences over Galois Field.- On Witt's Formula and Invariants for Free Lie Superalgebras.- Gröbner-Shirshov Bases for Kac-Moody Algebras An(1) and Bn(1).- On Some Classes of Linear Representable Matroids.- On a Class of Families of Belyi Functions.- Finite Basis Property of S-Ideals of Finite Dimensional Forms.- Peak Reduction Technique in Commutative Algebra.- On Algebraic Degrees and Multiplicities for Parameters of Some Finite Group Rings.- Some Ring and Module Properties of Skew Power Series.- Some Ring and Module Properties of Skew Laurent Series.- Extending a PartiallyOrdered Set: Links with its Lattice of Ideals.- From Rational Functions to Regular Languages.- Proving a Class of Hypergeometric Identities by Means of Generating Functions.- Séries génératrices exponentielles pour les ECO-systèmes signés.- New Statistics on Non-crossing Trees.- Expected Number of Inversions After a Sequence of Random Adjacent Transpositions.- The Variety of Associative Rings, Which Satisfy the Identity x32 = 0, is Not Specht.- Polynomials of Bounded Tree Width.- Permutations Containing and Avoiding Certain Patterns.- On the Center of the Quantum Pseudoplactic Algebra.- ECO-Approximation of Algebraic Functions.- Methods for Computing the Concurrency Degree of Commutation Monoids.- An Application of Dumont's Statistic.- On Wohlfahrt Formula for Finite Abelian Groups.- Induction and Auslander-Reiten Sequences Over Crossed Products.- On Acceleration of Multiprecision Computation of Products and Sums of Products of Rational Numbers.- Combinatorial Aspects of Capelli Identities and Structure of Algebras.- Generators and the Template Method Pattern. A Paradigm for Combinatorial Experimentation.- A Software to Solve Strip Tiling Problems.- Author Index.
Erscheint lt. Verlag | 26.5.2000 |
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Zusatzinfo | XIV, 808 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 156 x 234 mm |
Gewicht | 1379 g |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Graphentheorie | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Schlagworte | Algebraic and bijective combinatorics • algorithms • classification • combinatorial and computer algebra • Computer • Computer Algebra • Distribution • Graph • Node • Statistics • Vertices |
ISBN-10 | 3-540-67247-8 / 3540672478 |
ISBN-13 | 978-3-540-67247-0 / 9783540672470 |
Zustand | Neuware |
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