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Combinatorial Matrix Theory by Richard A. Brualdi, Herbert J. Ryser

Combinatorial Matrix Theory

by Richard A. Brualdi , Herbert J. Ryser
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Book cover type: Paperback
  • ISBN13: 9781107662605
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 378
  • Original Price: GBP 57.0
  • Language: English
  • Edition: Reprint
  • Item Weight: 504 grams
  • BISAC Subject(s): Discrete Mathematics

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.

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