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Combinatorial Matrix Theory
Buch von Richard A. Brualdi (u. a.)
Sprache: Englisch

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Beschreibung
The book deals with the many connections between matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorical properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix and Latin squares. The book ends by considering algebraic characterizations of combinatorical properties and the use of combinatorial arguments in proving classical algebraic theorems, including the Cayley-Hamilton Theorem and the Jorda Canonical Form.
The book deals with the many connections between matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorical properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix and Latin squares. The book ends by considering algebraic characterizations of combinatorical properties and the use of combinatorial arguments in proving classical algebraic theorems, including the Cayley-Hamilton Theorem and the Jorda Canonical Form.
Inhaltsverzeichnis
1. Incidence matrices; 2. Matrices and graphs; 3. Matrices and digraphs; 4. Matrices and bigraphs; 5. Combinatorial matrix algebra; 6. Existence theorems for combinatorially constrained matrices; 7. Some special graphs; 8. The permanent; 9. Latin squares.
Details
Erscheinungsjahr: 2003
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 380
ISBN-13: 9780521322652
ISBN-10: 0521322650
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Brualdi, Richard A.
Ryser, Herbert J.
Richard a., Brualdi
Hersteller: Cambridge University Press
Maße: 235 x 157 x 27 mm
Von/Mit: Richard A. Brualdi (u. a.)
Erscheinungsdatum: 29.09.2003
Gewicht: 0,768 kg
preigu-id: 115528115
Inhaltsverzeichnis
1. Incidence matrices; 2. Matrices and graphs; 3. Matrices and digraphs; 4. Matrices and bigraphs; 5. Combinatorial matrix algebra; 6. Existence theorems for combinatorially constrained matrices; 7. Some special graphs; 8. The permanent; 9. Latin squares.
Details
Erscheinungsjahr: 2003
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 380
ISBN-13: 9780521322652
ISBN-10: 0521322650
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Brualdi, Richard A.
Ryser, Herbert J.
Richard a., Brualdi
Hersteller: Cambridge University Press
Maße: 235 x 157 x 27 mm
Von/Mit: Richard A. Brualdi (u. a.)
Erscheinungsdatum: 29.09.2003
Gewicht: 0,768 kg
preigu-id: 115528115
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