Combinatorial matrix theory /:
This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbe...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
1991.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
39. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves. There are chapters dealing with the many connections between matrices, graphs, digraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorial properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix, and Latin squares. The final chapter deals with algebraic characterizations of combinatorial properties and the use of combinatorial arguments in proving classical algebraic theorems, including the Cayley-Hamilton Theorem and the Jordan Canonical Form. The book is sufficiently self-contained for use as a graduate course text, but complete enough for a standard reference work on the basic theory. Thus it will be an essential purchase for combinatorialists, matrix theorists, and those numerical analysts working in numerical linear algebra. |
| Beschreibung: | 1 online resource (ix, 367 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 345-362) and index. |
| ISBN: | 9781107087750 1107087759 9781107325708 1107325706 |
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| 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. |
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| genre | Konbinatorische Analysis. |
| genre_facet | Konbinatorische Analysis. |
| id | ZDB-4-EBA-ocn852898530 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:26Z |
| institution | BVB |
| isbn | 9781107087750 1107087759 9781107325708 1107325706 |
| language | English |
| oclc_num | 852898530 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 367 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications ; |
| series2 | Encyclopedia of mathematics and its applications ; |
| spelling | Brualdi, Richard A. Combinatorial matrix theory / Richard A. Brualdi, Herbert J. Ryser. Cambridge [England] ; New York : Cambridge University Press, 1991. 1 online resource (ix, 367 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; 39 Includes bibliographical references (pages 345-362) and index. 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. Print version record. This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves. There are chapters dealing with the many connections between matrices, graphs, digraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorial properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix, and Latin squares. The final chapter deals with algebraic characterizations of combinatorial properties and the use of combinatorial arguments in proving classical algebraic theorems, including the Cayley-Hamilton Theorem and the Jordan Canonical Form. The book is sufficiently self-contained for use as a graduate course text, but complete enough for a standard reference work on the basic theory. Thus it will be an essential purchase for combinatorialists, matrix theorists, and those numerical analysts working in numerical linear algebra. Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Combinatorial analysis. http://id.loc.gov/authorities/subjects/sh85028802 Matrices. Analyse combinatoire. MATHEMATICS Matrices. bisacsh Combinatorial analysis fast Matrices fast Kombinatorische Designtheorie gnd http://d-nb.info/gnd/4164747-6 Matrizentheorie gnd http://d-nb.info/gnd/4128970-5 Combinatória. larpcal Matrizes. larpcal Matrices. ram Analyse combinatoire. ram Konbinatorische Analysis. Ryser, Herbert John. Print version: Brualdi, Richard A. Combinatorial matrix theory. Cambridge [England] ; New York : Cambridge University Press, 1991 0521322650 (DLC) 90020210 (OCoLC)22597247 Encyclopedia of mathematics and its applications ; 39. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569392 Volltext |
| spellingShingle | Brualdi, Richard A. Combinatorial matrix theory / Encyclopedia of mathematics and its applications ; 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. Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Combinatorial analysis. http://id.loc.gov/authorities/subjects/sh85028802 Matrices. Analyse combinatoire. MATHEMATICS Matrices. bisacsh Combinatorial analysis fast Matrices fast Kombinatorische Designtheorie gnd http://d-nb.info/gnd/4164747-6 Matrizentheorie gnd http://d-nb.info/gnd/4128970-5 Combinatória. larpcal Matrizes. larpcal Matrices. ram Analyse combinatoire. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082210 http://id.loc.gov/authorities/subjects/sh85028802 http://d-nb.info/gnd/4164747-6 http://d-nb.info/gnd/4128970-5 |
| title | Combinatorial matrix theory / |
| title_auth | Combinatorial matrix theory / |
| title_exact_search | Combinatorial matrix theory / |
| title_full | Combinatorial matrix theory / Richard A. Brualdi, Herbert J. Ryser. |
| title_fullStr | Combinatorial matrix theory / Richard A. Brualdi, Herbert J. Ryser. |
| title_full_unstemmed | Combinatorial matrix theory / Richard A. Brualdi, Herbert J. Ryser. |
| title_short | Combinatorial matrix theory / |
| title_sort | combinatorial matrix theory |
| topic | Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Combinatorial analysis. http://id.loc.gov/authorities/subjects/sh85028802 Matrices. Analyse combinatoire. MATHEMATICS Matrices. bisacsh Combinatorial analysis fast Matrices fast Kombinatorische Designtheorie gnd http://d-nb.info/gnd/4164747-6 Matrizentheorie gnd http://d-nb.info/gnd/4128970-5 Combinatória. larpcal Matrizes. larpcal Matrices. ram Analyse combinatoire. ram |
| topic_facet | Matrices. Combinatorial analysis. Analyse combinatoire. MATHEMATICS Matrices. Combinatorial analysis Matrices Kombinatorische Designtheorie Matrizentheorie Combinatória. Matrizes. Konbinatorische Analysis. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569392 |
| work_keys_str_mv | AT brualdiricharda combinatorialmatrixtheory AT ryserherbertjohn combinatorialmatrixtheory |