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The Resource Combinatorial matrix theory, Richard A. Brualdi, Herbert J. Ryser

Combinatorial matrix theory, Richard A. Brualdi, Herbert J. Ryser

Label
Combinatorial matrix theory
Title
Combinatorial matrix theory
Statement of responsibility
Richard A. Brualdi, Herbert J. Ryser
Creator
Contributor
Author
Subject
Language
eng
Summary
This is the first book length exposition of basic results of combinatorial matrix theory, that is, the use of combinatorics and graph theory in matrix theory (and vice versa) and the study of intrinsic properties of matrices viewed as arrays of numbers rather than as algebraic objects. The early chapters deal with the many connections with matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flow is developed in order to obtain existence theorems for matrices with prescribed combinatorial properties and to obtain various matrix decomposition theorems. Other chapters treat the permanent of a matrix and latin squares. The final chapter deals with algebraic characterization of combinatorial properties and the use of combinatorial arguments in proving such classical theorems as the Cayley-Hamilton theorem and the Jordan canonical form
Member of
Cataloging source
MUS
http://library.link/vocab/creatorName
Brualdi, Richard A
Dewey number
512.9434
Illustrations
illustrations
Index
index present
LC call number
QA188
LC item number
.B78 2013
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Ryser, Herbert John
http://library.link/vocab/subjectName
  • Matrices
  • Combinatorial analysis
Label
Combinatorial matrix theory, Richard A. Brualdi, Herbert J. Ryser
Instantiates
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Incidence matrices -- Matrices and graphs -- Matrices and digraphs -- Matrices and bigraphs -- Combinatorial matrix algebra -- Existence theorems for combinatorially constrained matrices -- Some special graphs -- The permanent -- Latin squares
Control code
CR9781107325708
Extent
1 online resource (ix, 367 pages)
Form of item
online
Isbn
9781107325708
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote
Label
Combinatorial matrix theory, Richard A. Brualdi, Herbert J. Ryser
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Incidence matrices -- Matrices and graphs -- Matrices and digraphs -- Matrices and bigraphs -- Combinatorial matrix algebra -- Existence theorems for combinatorially constrained matrices -- Some special graphs -- The permanent -- Latin squares
Control code
CR9781107325708
Extent
1 online resource (ix, 367 pages)
Form of item
online
Isbn
9781107325708
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote

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