The Resource Graphs and Matrices, by Ravindra B. Bapat, (electronic resource)
Graphs and Matrices, by Ravindra B. Bapat, (electronic resource)
Resource Information
The item Graphs and Matrices, by Ravindra B. Bapat, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Graphs and Matrices, by Ravindra B. Bapat, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on PerronFrobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering
 Language
 eng
 Edition
 2nd ed. 2014.
 Extent
 XI, 193 p. 32 illus.
 Contents

 Preliminaries
 Incidence Matrix
 Adjacency Matrix
 Laplacian Matrix
 Cycles and Cuts
 Regular Graphs
 Line Graph of a Tree
 Algebraic Connectivity
 Distance Matrix of a Tree
 Resistance Distance
 Laplacian Eigenvalues of Threshold Graphs
 Positive Definite Completion Problem
 Matrix Games Based on Graphs
 Isbn
 9781447165699
 Label
 Graphs and Matrices
 Title
 Graphs and Matrices
 Statement of responsibility
 by Ravindra B. Bapat
 Language
 eng
 Summary
 This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on PerronFrobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering
 http://library.link/vocab/creatorName
 Bapat, Ravindra B
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink (Online service)
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Mathematics
 Matrix theory
 Algebra
 Label
 Graphs and Matrices, by Ravindra B. Bapat, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 Preliminaries  Incidence Matrix  Adjacency Matrix  Laplacian Matrix  Cycles and Cuts  Regular Graphs  Line Graph of a Tree  Algebraic Connectivity  Distance Matrix of a Tree  Resistance Distance  Laplacian Eigenvalues of Threshold Graphs  Positive Definite Completion Problem  Matrix Games Based on Graphs
 Control code
 9781447165699
 Dimensions
 unknown
 Edition
 2nd ed. 2014.
 Extent
 XI, 193 p. 32 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781447165699
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781447165699
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086456714
 Label
 Graphs and Matrices, by Ravindra B. Bapat, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 Preliminaries  Incidence Matrix  Adjacency Matrix  Laplacian Matrix  Cycles and Cuts  Regular Graphs  Line Graph of a Tree  Algebraic Connectivity  Distance Matrix of a Tree  Resistance Distance  Laplacian Eigenvalues of Threshold Graphs  Positive Definite Completion Problem  Matrix Games Based on Graphs
 Control code
 9781447165699
 Dimensions
 unknown
 Edition
 2nd ed. 2014.
 Extent
 XI, 193 p. 32 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781447165699
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781447165699
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086456714
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