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The Resource Combinatorial species and treelike structures, F. Bergeron, G. Labelle, P. Leroux ; translated from the French by Margaret Readdy, (electronic resource)
Combinatorial species and treelike structures, F. Bergeron, G. Labelle, P. Leroux ; translated from the French by Margaret Readdy, (electronic resource)
Resource Information
The item Combinatorial species and treelike structures, F. Bergeron, G. Labelle, P. Leroux ; translated from the French by Margaret Readdy, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Combinatorial species and treelike structures, F. Bergeron, G. Labelle, P. Leroux ; translated from the French by Margaret Readdy, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 Provides a unified understanding of the use of generating functions for labelled and unlabelled structures
 Language

 eng
 eng
 Extent
 1 online resource (482 p.)
 Note
 Description based upon print version of record
 Contents

 Cover; Half Title; Title; Copyright; Foreword; Table of Contents; Preface; Acknowledgments; 1 Introduction to Species of Structures; 1.0. Introduction; 1.1. Notion of Species of Structures; Definition of Species of Structures; Examples of Species Defined Using Set Theoretic Axioms; Examples of Explicit Constructions; Example of Algorithmic Construction; Examples of Species Defined Using Combinatorial Operations; Examples of Functional Equations; Geometric Descriptions; Exercises for Section 1.1; 1.2. Associated Series; Generating Series of a Species of Structures; Type Generating Series
 Cycle Index SeriesCombinatorial Equality; Contact of Order n; Exercises for Section 1.2; 1.3. Addition and Multiplication; Sum of Species of Structures; Product of Species of Structures; Exercises for Section 1.3; 1.4. Substitution and Differentiation; Substitution of Species of Structures; The Derivative of a Species of Structures; Exercises for Section 1.4; 2 Complements on Species of Structure; 2.0. Introduction; 2.1. Pointing and Cartesian Product; Pointing in a Species of Structures; Cartesian Product of Species of Structures; Exercises for Section 2.1; 2.2. Functorial Composition
 Exercises for Section 2.22.3. Weighted Species; Weighted Species; Exercises for Section 2.3; 2.4. Extension to the Multisort Context; Multisort Species; Weighted Multisort Species; Exercises for Section 2.4; 2.5. Virtual Species; Step 1. Completion; Step 2. Extension of the Other Operations; Combinatorial Logarithm; Exercises for Section 2.5; 2.6. Molecular and Atomic Species; Exercises for Section 2.6; 3 Combinatorial Functional Equations; 3.0. Introduction; 3.1. Lagrange Inversion; Proof of the Classical Lagrange Inversion Formulas; REnriched Trees; Leaves and Binomial Type Sequences
 Exercises for Section 3.13.2. Implicit Species Theorem; GRooted Trees; System of Functional Equations; R, SEnricbed Bicolored Trees; Computation of the Cycle Index Series of REnriched Rooted Trees; Exercises for Section 3.2; 3.3. Quadratic Iterative Methods; The Equation Y = H(X, YoG); Exercises for Section 3.3; 3.4. Elements of Asymptotic Analysis; Polar Singularities; Algebraic Singularities; Asymptotic Expansions; Singularities at Infinity; Implicitly Defined Series; Exercises for Section 3.4; 4 Complements on Unlabeled Enumeration; 4.0. Introduction
 4.1. The Dissymmetry Theorem for TreesExercises for Section 4.1; 4.2. Connected Graphs and Blocks; Connected Graphs; Nonseparable Graphs; Exercises for Section 4.2; 4.3. Proof of the Substitution Formulas; Characterization of Cycle Index Series; Connections with P61ya Theory; Exercises for Section 4.3; 4.4. Asymmetric Structures; Exercises for Section 4.4; 5 Species on Totally Ordered Sets; 5.0. Introduction; 5.1. LSpecies; Totally Ordered Sets; LSpecies; Combinatorial Integrals; Multisort ILSpecies; Exercises for Section 5.1; 5.2. Combinatorial Differential Equations
 The LieGrobnerTaylor Formula
 Isbn
 9781107100800
 Label
 Combinatorial species and treelike structures
 Title
 Combinatorial species and treelike structures
 Statement of responsibility
 F. Bergeron, G. Labelle, P. Leroux ; translated from the French by Margaret Readdy
 Language

 eng
 eng
 Summary
 Provides a unified understanding of the use of generating functions for labelled and unlabelled structures
 Cataloging source
 MiAaPQ
 http://library.link/vocab/creatorName
 Bergeron, F
 Dewey number

 511.5
 511/.5
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA164.8
 LC item number
 .B4713 1998
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate

 1944
 1942
 http://library.link/vocab/relatedWorkOrContributorName

 Labelle, Gilbert
 Leroux, P.
 Readdy, Margaret
 Series statement

 Encyclopedia of mathematics and its applications
 Encyclopedia of Mathematics and its Applications
 Series volume
 v. 67
 http://library.link/vocab/subjectName
 Combinatorial enumeration problems
 Label
 Combinatorial species and treelike structures, F. Bergeron, G. Labelle, P. Leroux ; translated from the French by Margaret Readdy, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [434]446) and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Cover; Half Title; Title; Copyright; Foreword; Table of Contents; Preface; Acknowledgments; 1 Introduction to Species of Structures; 1.0. Introduction; 1.1. Notion of Species of Structures; Definition of Species of Structures; Examples of Species Defined Using Set Theoretic Axioms; Examples of Explicit Constructions; Example of Algorithmic Construction; Examples of Species Defined Using Combinatorial Operations; Examples of Functional Equations; Geometric Descriptions; Exercises for Section 1.1; 1.2. Associated Series; Generating Series of a Species of Structures; Type Generating Series
 Cycle Index SeriesCombinatorial Equality; Contact of Order n; Exercises for Section 1.2; 1.3. Addition and Multiplication; Sum of Species of Structures; Product of Species of Structures; Exercises for Section 1.3; 1.4. Substitution and Differentiation; Substitution of Species of Structures; The Derivative of a Species of Structures; Exercises for Section 1.4; 2 Complements on Species of Structure; 2.0. Introduction; 2.1. Pointing and Cartesian Product; Pointing in a Species of Structures; Cartesian Product of Species of Structures; Exercises for Section 2.1; 2.2. Functorial Composition
 Exercises for Section 2.22.3. Weighted Species; Weighted Species; Exercises for Section 2.3; 2.4. Extension to the Multisort Context; Multisort Species; Weighted Multisort Species; Exercises for Section 2.4; 2.5. Virtual Species; Step 1. Completion; Step 2. Extension of the Other Operations; Combinatorial Logarithm; Exercises for Section 2.5; 2.6. Molecular and Atomic Species; Exercises for Section 2.6; 3 Combinatorial Functional Equations; 3.0. Introduction; 3.1. Lagrange Inversion; Proof of the Classical Lagrange Inversion Formulas; REnriched Trees; Leaves and Binomial Type Sequences
 Exercises for Section 3.13.2. Implicit Species Theorem; GRooted Trees; System of Functional Equations; R, SEnricbed Bicolored Trees; Computation of the Cycle Index Series of REnriched Rooted Trees; Exercises for Section 3.2; 3.3. Quadratic Iterative Methods; The Equation Y = H(X, YoG); Exercises for Section 3.3; 3.4. Elements of Asymptotic Analysis; Polar Singularities; Algebraic Singularities; Asymptotic Expansions; Singularities at Infinity; Implicitly Defined Series; Exercises for Section 3.4; 4 Complements on Unlabeled Enumeration; 4.0. Introduction
 4.1. The Dissymmetry Theorem for TreesExercises for Section 4.1; 4.2. Connected Graphs and Blocks; Connected Graphs; Nonseparable Graphs; Exercises for Section 4.2; 4.3. Proof of the Substitution Formulas; Characterization of Cycle Index Series; Connections with P61ya Theory; Exercises for Section 4.3; 4.4. Asymmetric Structures; Exercises for Section 4.4; 5 Species on Totally Ordered Sets; 5.0. Introduction; 5.1. LSpecies; Totally Ordered Sets; LSpecies; Combinatorial Integrals; Multisort ILSpecies; Exercises for Section 5.1; 5.2. Combinatorial Differential Equations
 The LieGrobnerTaylor Formula
 Dimensions
 unknown
 Extent
 1 online resource (482 p.)
 Form of item
 online
 Isbn
 9781107100800
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2550000001105890
 (EBL)1178978
 (OCoLC)853359876
 (SSID)ssj0000877418
 (PQKBManifestationID)11498120
 (PQKBTitleCode)TC0000877418
 (PQKBWorkID)10922476
 (PQKB)11270236
 (UkCbUP)CR9781107325913
 (MiAaPQ)EBC1178978
 (EXLCZ)992550000001105890
 Label
 Combinatorial species and treelike structures, F. Bergeron, G. Labelle, P. Leroux ; translated from the French by Margaret Readdy, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [434]446) and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Cover; Half Title; Title; Copyright; Foreword; Table of Contents; Preface; Acknowledgments; 1 Introduction to Species of Structures; 1.0. Introduction; 1.1. Notion of Species of Structures; Definition of Species of Structures; Examples of Species Defined Using Set Theoretic Axioms; Examples of Explicit Constructions; Example of Algorithmic Construction; Examples of Species Defined Using Combinatorial Operations; Examples of Functional Equations; Geometric Descriptions; Exercises for Section 1.1; 1.2. Associated Series; Generating Series of a Species of Structures; Type Generating Series
 Cycle Index SeriesCombinatorial Equality; Contact of Order n; Exercises for Section 1.2; 1.3. Addition and Multiplication; Sum of Species of Structures; Product of Species of Structures; Exercises for Section 1.3; 1.4. Substitution and Differentiation; Substitution of Species of Structures; The Derivative of a Species of Structures; Exercises for Section 1.4; 2 Complements on Species of Structure; 2.0. Introduction; 2.1. Pointing and Cartesian Product; Pointing in a Species of Structures; Cartesian Product of Species of Structures; Exercises for Section 2.1; 2.2. Functorial Composition
 Exercises for Section 2.22.3. Weighted Species; Weighted Species; Exercises for Section 2.3; 2.4. Extension to the Multisort Context; Multisort Species; Weighted Multisort Species; Exercises for Section 2.4; 2.5. Virtual Species; Step 1. Completion; Step 2. Extension of the Other Operations; Combinatorial Logarithm; Exercises for Section 2.5; 2.6. Molecular and Atomic Species; Exercises for Section 2.6; 3 Combinatorial Functional Equations; 3.0. Introduction; 3.1. Lagrange Inversion; Proof of the Classical Lagrange Inversion Formulas; REnriched Trees; Leaves and Binomial Type Sequences
 Exercises for Section 3.13.2. Implicit Species Theorem; GRooted Trees; System of Functional Equations; R, SEnricbed Bicolored Trees; Computation of the Cycle Index Series of REnriched Rooted Trees; Exercises for Section 3.2; 3.3. Quadratic Iterative Methods; The Equation Y = H(X, YoG); Exercises for Section 3.3; 3.4. Elements of Asymptotic Analysis; Polar Singularities; Algebraic Singularities; Asymptotic Expansions; Singularities at Infinity; Implicitly Defined Series; Exercises for Section 3.4; 4 Complements on Unlabeled Enumeration; 4.0. Introduction
 4.1. The Dissymmetry Theorem for TreesExercises for Section 4.1; 4.2. Connected Graphs and Blocks; Connected Graphs; Nonseparable Graphs; Exercises for Section 4.2; 4.3. Proof of the Substitution Formulas; Characterization of Cycle Index Series; Connections with P61ya Theory; Exercises for Section 4.3; 4.4. Asymmetric Structures; Exercises for Section 4.4; 5 Species on Totally Ordered Sets; 5.0. Introduction; 5.1. LSpecies; Totally Ordered Sets; LSpecies; Combinatorial Integrals; Multisort ILSpecies; Exercises for Section 5.1; 5.2. Combinatorial Differential Equations
 The LieGrobnerTaylor Formula
 Dimensions
 unknown
 Extent
 1 online resource (482 p.)
 Form of item
 online
 Isbn
 9781107100800
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2550000001105890
 (EBL)1178978
 (OCoLC)853359876
 (SSID)ssj0000877418
 (PQKBManifestationID)11498120
 (PQKBTitleCode)TC0000877418
 (PQKBWorkID)10922476
 (PQKB)11270236
 (UkCbUP)CR9781107325913
 (MiAaPQ)EBC1178978
 (EXLCZ)992550000001105890
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