Combinatorial Matrix Classes

Released on by Richard A. Brualdi
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  • Combinatorial Matrix Classes Book Detail

  • Author : Richard A. Brualdi
  • Release Date : 2006-08-10
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 26
  • ISBN 13 : 0521865654
  • File Size : 59,59 MB
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Combinatorial Matrix Classes by Richard A. Brualdi PDF Summary

Book Description: A natural sequel to the author's previous book Combinatorial Matrix Theory written with H. J. Ryser, this is the first book devoted exclusively to existence questions, constructive algorithms, enumeration questions, and other properties concerning classes of matrices of combinatorial significance. Several classes of matrices are thoroughly developed including the classes of matrices of 0's and 1's with a specified number of 1's in each row and column (equivalently, bipartite graphs with a specified degree sequence), symmetric matrices in such classes (equivalently, graphs with a specified degree sequence), tournament matrices with a specified number of 1's in each row (equivalently, tournaments with a specified score sequence), nonnegative matrices with specified row and column sums, and doubly stochastic matrices. Most of this material is presented for the first time in book format and the chapter on doubly stochastic matrices provides the most complete development of the topic to date.

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Combinatorial Matrix Classes

Combinatorial Matrix Classes

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A natural sequel to the author's previous book Combinatorial Matrix Theory written with H. J. Ryser, this is the first book devoted exclusively to existence que

Combinatorial Matrix Classes

Combinatorial Matrix Classes

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A thorough development of certain classes of matrices that have combinatorial definitions or significance.

Combinatorial Matrix Theory

Combinatorial Matrix Theory

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This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (CRM) in Barce

Combinatorial Matrix Theory

Combinatorial Matrix Theory

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This is the first book devoted to the exposition of combinatorial matrix theory. It can be used as a graduate course text, but is complete enough for a standard