Synopses & Reviews
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 reference work on the basic theory.
Review
"A reader who is familiar with basic results in matrix theory will surely be captivated by this concise self-contained introduction to graph theory and combinatorial ideas and reasoning." S. K. Tharthare, Mathematical Reviews"...a major addition to the literature of combinatorics." W. T. Tutte, Bulletin of the American Mathematical Society
Description
Includes bibliographical references (p. [345]-362) and index.
Table of Contents
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.