Eigenvalues, Multiplicities and Graphs

Eigenvalues, Multiplicities and Graphs

by Charles R. Johnson, Carlos M. Saiago


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Product Details

ISBN-13: 9781107095458
Publisher: Cambridge University Press
Publication date: 02/12/2018
Series: Cambridge Tracts in Mathematics Series , #211
Pages: 310
Product dimensions: 5.98(w) x 8.98(h) x 0.91(d)

About the Author

Charles R. Johnson is Class of 1961 Professor of Mathematics at the College of William and Mary, Virginia. He is the recognized expert in the interplay between linear algebra and combinatorics, as well as many parts of matrix analysis. He is coauthor of Matrix Analysis (Cambridge, 2012), Topics in Matrix Analysis (Cambridge, 2010), both with Roger Horn, and Totally Nonnegative Matrices (2011, with Shaun Fallat).

Carlos M. Saiago is Assistant Professor of Mathematics at Universidade Nova de Lisboa, Portugal, and is the author of fifteen papers on eigenvalues, multiplicities, and graphs.

Table of Contents

Background; 1. Introduction; 2. Parter-Wiener, etc. theory; 3. Maximum multiplicity for trees, I; 4. Multiple eigenvalues and structure; 5. Maximum multiplicity, II; 6. The minimum number of distinct eigenvalues; 7. Construction techniques; 8. Multiplicity lists for generalized stars; 9. Double generalized stars; 10. Linear trees; 11. Non-trees; 12. Geometric multiplicities for general matrices over a field.

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