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The Resource Combinatorial matrix theory, Richard A. Brualdi, Herbert J. Ryser, (electronic resource)
Combinatorial matrix theory, Richard A. Brualdi, Herbert J. Ryser, (electronic resource)
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The item Combinatorial matrix theory, Richard A. Brualdi, Herbert J. Ryser, (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 matrix theory, Richard A. Brualdi, Herbert J. Ryser, (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
 This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory
 Language

 eng
 eng
 Extent
 1 online resource (380 p.)
 Note
 Description based upon print version of record
 Contents

 Cover; Half Title; Title; Copyright; PREFACE; 1 Incidence Matrices; 1.1 Fundamental Concepts; 1.2 A Minimax Theorem; Exercises; Exercises; References; References; 1.3 Set Intersections; Exercises; References; 1.4 Applications; Exercises; References; 2 Matrices and Graphs; 2.1 Basic Concepts; Exercises; References; 2.2 The Adjacency Matrix of a Graph; Exercises; References; 2.3 The Incidence Matrix of a Graph; Exercises; References; 2.4 Line Graphs; Exercises; References; 2.5 The Laplacian Matrix of a Graph; Exercises; References; 2.6 Matchings; Exercises; References; 3 Matrices and Digraphs
 3.1 Basic ConceptsExercises; References; 3.2 Irreducible Matrices; Exercises; References; 3.3 Nearly Reducible Matrices; Exercises; References; 3.4 Index of Imprimitivity and Matrix Powers; Exercises; References; 3.5 Exponents of Primitive Matrices; References; 3.6 Eigenvalues of Digraphs; Exercises; References; 3.7 Computational Considerations; Exercise; References; 4 Matrices and Bipartite Graphs; 4.1 Basic Facts; Exercises; References; 4.2 Fully Indecomposable Matrices; Exercises; References; 4.3 Nearly Decomposable Matrices; Exercises; References; 4.4 Decomposition Theorems; Exercises
 References4.5 Diagonal Structure of a Matrix; Exercises; References; 5 Some Special Graphs; 5.1 Regular Graphs; Exercises; References; 5.2 Strongly Regular Graphs; Exercises; References; 5.3 Polynomial Digraphs; Exercises; References; 6 Existence Theorems; 6.1 Network Flows; Exercises; References; 6.2 Existence Theorems for Matrices; Exercises; References; 6.3 Existence Theorems for Symmetric Matrices; Exercises; References; 6.4 More Decomposition Theorems; Exercises; References; 6.5 A Combinatorial Duality Theorem; Exercises; References; 7 The Permanent; 7.1 Basic Properties; Exercises
 References7.2 Permutations with Restricted Positions; Exercises; References; 7.3 Matrix Factorization of the Permanent and the Determinant; Exercises; References; 7.4 Inequalities; Exercises; References; 7.5 Evaluation of Permanents; Exercises; References; 8 Latin Squares; 8.1 Latin Rectangles; Exercises; References; 8.2 Partial Transversals; Exercises; References; 8.3 Partial Latin Squares; Exercises; References; 8.4 Orthogonal Latin Squares; Exercises; References; 8.5 Enumeration and SelfOrthogonality; Exercises; References; 9 Combinatorial Matrix Algebra; 9.1 The Determinant; Exercises
 References9.2 The Formal Incidence Matrix; Exercises; References; 9.3 The Formal Intersection Matrix; Exercise; References; 9.4 MacMahon's Master Theorem; Exercises; References; 9.5 The Formal Adjacency Matrix; Exercises; References; 9.6 The Formal Laplacian Matrix; Exercises; References; 9.7 Polynomial Identities; Exercises; References; 9.8 Generic Nilpotent Matrices; Exercises; References; MASTER REFERENCE LIST; INDEX
 Isbn
 9781107325708
 Label
 Combinatorial matrix theory
 Title
 Combinatorial matrix theory
 Statement of responsibility
 Richard A. Brualdi, Herbert J. Ryser
 Language

 eng
 eng
 Summary
 This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory
 Cataloging source
 MiAaPQ
 http://library.link/vocab/creatorName
 Brualdi, Richard A
 Dewey number

 512.9/434
 512.9434
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA188
 LC item number
 .B78 1991
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Ryser, Herbert John
 Series statement
 Encyclopedia of mathematics and its applications
 Series volume
 39
 http://library.link/vocab/subjectName

 Matrices
 Combinatorial analysis
 Label
 Combinatorial matrix theory, Richard A. Brualdi, Herbert J. Ryser, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [345]362) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Cover; Half Title; Title; Copyright; PREFACE; 1 Incidence Matrices; 1.1 Fundamental Concepts; 1.2 A Minimax Theorem; Exercises; Exercises; References; References; 1.3 Set Intersections; Exercises; References; 1.4 Applications; Exercises; References; 2 Matrices and Graphs; 2.1 Basic Concepts; Exercises; References; 2.2 The Adjacency Matrix of a Graph; Exercises; References; 2.3 The Incidence Matrix of a Graph; Exercises; References; 2.4 Line Graphs; Exercises; References; 2.5 The Laplacian Matrix of a Graph; Exercises; References; 2.6 Matchings; Exercises; References; 3 Matrices and Digraphs
 3.1 Basic ConceptsExercises; References; 3.2 Irreducible Matrices; Exercises; References; 3.3 Nearly Reducible Matrices; Exercises; References; 3.4 Index of Imprimitivity and Matrix Powers; Exercises; References; 3.5 Exponents of Primitive Matrices; References; 3.6 Eigenvalues of Digraphs; Exercises; References; 3.7 Computational Considerations; Exercise; References; 4 Matrices and Bipartite Graphs; 4.1 Basic Facts; Exercises; References; 4.2 Fully Indecomposable Matrices; Exercises; References; 4.3 Nearly Decomposable Matrices; Exercises; References; 4.4 Decomposition Theorems; Exercises
 References4.5 Diagonal Structure of a Matrix; Exercises; References; 5 Some Special Graphs; 5.1 Regular Graphs; Exercises; References; 5.2 Strongly Regular Graphs; Exercises; References; 5.3 Polynomial Digraphs; Exercises; References; 6 Existence Theorems; 6.1 Network Flows; Exercises; References; 6.2 Existence Theorems for Matrices; Exercises; References; 6.3 Existence Theorems for Symmetric Matrices; Exercises; References; 6.4 More Decomposition Theorems; Exercises; References; 6.5 A Combinatorial Duality Theorem; Exercises; References; 7 The Permanent; 7.1 Basic Properties; Exercises
 References7.2 Permutations with Restricted Positions; Exercises; References; 7.3 Matrix Factorization of the Permanent and the Determinant; Exercises; References; 7.4 Inequalities; Exercises; References; 7.5 Evaluation of Permanents; Exercises; References; 8 Latin Squares; 8.1 Latin Rectangles; Exercises; References; 8.2 Partial Transversals; Exercises; References; 8.3 Partial Latin Squares; Exercises; References; 8.4 Orthogonal Latin Squares; Exercises; References; 8.5 Enumeration and SelfOrthogonality; Exercises; References; 9 Combinatorial Matrix Algebra; 9.1 The Determinant; Exercises
 References9.2 The Formal Incidence Matrix; Exercises; References; 9.3 The Formal Intersection Matrix; Exercise; References; 9.4 MacMahon's Master Theorem; Exercises; References; 9.5 The Formal Adjacency Matrix; Exercises; References; 9.6 The Formal Laplacian Matrix; Exercises; References; 9.7 Polynomial Identities; Exercises; References; 9.8 Generic Nilpotent Matrices; Exercises; References; MASTER REFERENCE LIST; INDEX
 Dimensions
 unknown
 Extent
 1 online resource (380 p.)
 Form of item
 online
 Isbn
 9781107325708
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2550000001105877
 (EBL)1178990
 (OCoLC)853359890
 (SSID)ssj0000877417
 (PQKBManifestationID)11535885
 (PQKBTitleCode)TC0000877417
 (PQKBWorkID)10907430
 (PQKB)10093577
 (UkCbUP)CR9781107325708
 (MiAaPQ)EBC1178990
 (EXLCZ)992550000001105877
 Label
 Combinatorial matrix theory, Richard A. Brualdi, Herbert J. Ryser, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [345]362) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Cover; Half Title; Title; Copyright; PREFACE; 1 Incidence Matrices; 1.1 Fundamental Concepts; 1.2 A Minimax Theorem; Exercises; Exercises; References; References; 1.3 Set Intersections; Exercises; References; 1.4 Applications; Exercises; References; 2 Matrices and Graphs; 2.1 Basic Concepts; Exercises; References; 2.2 The Adjacency Matrix of a Graph; Exercises; References; 2.3 The Incidence Matrix of a Graph; Exercises; References; 2.4 Line Graphs; Exercises; References; 2.5 The Laplacian Matrix of a Graph; Exercises; References; 2.6 Matchings; Exercises; References; 3 Matrices and Digraphs
 3.1 Basic ConceptsExercises; References; 3.2 Irreducible Matrices; Exercises; References; 3.3 Nearly Reducible Matrices; Exercises; References; 3.4 Index of Imprimitivity and Matrix Powers; Exercises; References; 3.5 Exponents of Primitive Matrices; References; 3.6 Eigenvalues of Digraphs; Exercises; References; 3.7 Computational Considerations; Exercise; References; 4 Matrices and Bipartite Graphs; 4.1 Basic Facts; Exercises; References; 4.2 Fully Indecomposable Matrices; Exercises; References; 4.3 Nearly Decomposable Matrices; Exercises; References; 4.4 Decomposition Theorems; Exercises
 References4.5 Diagonal Structure of a Matrix; Exercises; References; 5 Some Special Graphs; 5.1 Regular Graphs; Exercises; References; 5.2 Strongly Regular Graphs; Exercises; References; 5.3 Polynomial Digraphs; Exercises; References; 6 Existence Theorems; 6.1 Network Flows; Exercises; References; 6.2 Existence Theorems for Matrices; Exercises; References; 6.3 Existence Theorems for Symmetric Matrices; Exercises; References; 6.4 More Decomposition Theorems; Exercises; References; 6.5 A Combinatorial Duality Theorem; Exercises; References; 7 The Permanent; 7.1 Basic Properties; Exercises
 References7.2 Permutations with Restricted Positions; Exercises; References; 7.3 Matrix Factorization of the Permanent and the Determinant; Exercises; References; 7.4 Inequalities; Exercises; References; 7.5 Evaluation of Permanents; Exercises; References; 8 Latin Squares; 8.1 Latin Rectangles; Exercises; References; 8.2 Partial Transversals; Exercises; References; 8.3 Partial Latin Squares; Exercises; References; 8.4 Orthogonal Latin Squares; Exercises; References; 8.5 Enumeration and SelfOrthogonality; Exercises; References; 9 Combinatorial Matrix Algebra; 9.1 The Determinant; Exercises
 References9.2 The Formal Incidence Matrix; Exercises; References; 9.3 The Formal Intersection Matrix; Exercise; References; 9.4 MacMahon's Master Theorem; Exercises; References; 9.5 The Formal Adjacency Matrix; Exercises; References; 9.6 The Formal Laplacian Matrix; Exercises; References; 9.7 Polynomial Identities; Exercises; References; 9.8 Generic Nilpotent Matrices; Exercises; References; MASTER REFERENCE LIST; INDEX
 Dimensions
 unknown
 Extent
 1 online resource (380 p.)
 Form of item
 online
 Isbn
 9781107325708
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2550000001105877
 (EBL)1178990
 (OCoLC)853359890
 (SSID)ssj0000877417
 (PQKBManifestationID)11535885
 (PQKBTitleCode)TC0000877417
 (PQKBWorkID)10907430
 (PQKB)10093577
 (UkCbUP)CR9781107325708
 (MiAaPQ)EBC1178990
 (EXLCZ)992550000001105877
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