The Resource Graphs and Matrices, by Ravindra B. Bapat, (electronic resource)

Graphs and Matrices, by Ravindra B. Bapat, (electronic resource)

Label
Graphs and Matrices
Title
Graphs and Matrices
Statement of responsibility
by Ravindra B. Bapat
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Whilst it is a moot point amongst researchers, linear algebra is an important component in the study of graphs. This book illustrates the elegance and power of matrix techniques in the study of graphs by means of several results, both classical and recent. The emphasis on matrix techniques is greater than other standard references on algebraic graph theory, and the important matrices associated with graphs such as 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, and the inclusion of exercises enables practical learning throughout the book. It may also be applied to a selection of sub-disciplines within science and engineering. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory who want to be acquainted with matrix theoretic ideas used in graph theory, it will also benefit a wider, cross-disciplinary readership
Member of
Is Subseries of
http://library.link/vocab/creatorName
Bapat, Ravindra B
Dewey number
511.5
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
_tOrD9KKDHY
Language note
English
LC call number
QA184-205
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Matrix theory
  • Linear and Multilinear Algebras, Matrix Theory
Label
Graphs and Matrices, by Ravindra B. Bapat, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 165-168) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preliminaries -- Incidence Matrix -- Adjacency Matrix -- Laplacian Matrix -- Cycles and Cuts -- Regular Graphs -- Algebraic Connectivity -- Distance Matrix of a Tree -- Resistance Distance -- Laplacian Eigenvalues of Threshold Graphs -- Positive Definite Completion Problem -- Matrix Games Based on Graphs -- Hints and Solutions to Selected Exercises
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (174 p.)
Form of item
online
Isbn
9781848829817
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84882-981-7
Specific material designation
remote
System control number
  • (CKB)2550000000015803
  • (EBL)3065536
  • (SSID)ssj0000449559
  • (PQKBManifestationID)11285588
  • (PQKBTitleCode)TC0000449559
  • (PQKBWorkID)10434851
  • (PQKB)11126691
  • (DE-He213)978-1-84882-981-7
  • (MiAaPQ)EBC3065536
  • (EXLCZ)992550000000015803
Label
Graphs and Matrices, by Ravindra B. Bapat, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 165-168) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preliminaries -- Incidence Matrix -- Adjacency Matrix -- Laplacian Matrix -- Cycles and Cuts -- Regular Graphs -- Algebraic Connectivity -- Distance Matrix of a Tree -- Resistance Distance -- Laplacian Eigenvalues of Threshold Graphs -- Positive Definite Completion Problem -- Matrix Games Based on Graphs -- Hints and Solutions to Selected Exercises
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (174 p.)
Form of item
online
Isbn
9781848829817
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84882-981-7
Specific material designation
remote
System control number
  • (CKB)2550000000015803
  • (EBL)3065536
  • (SSID)ssj0000449559
  • (PQKBManifestationID)11285588
  • (PQKBTitleCode)TC0000449559
  • (PQKBWorkID)10434851
  • (PQKB)11126691
  • (DE-He213)978-1-84882-981-7
  • (MiAaPQ)EBC3065536
  • (EXLCZ)992550000000015803

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