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  1. Home
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  3. Inequalities for Graph Eigenvalues
  • Cited by 28
Publisher:
Cambridge University Press
Online publication date:
August 2015
Print publication year:
2015
Online ISBN:
9781316341308
DOI:
https://doi.org/10.1017/CBO9781316341308
Subjects:
Mathematics (general), Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Discrete Mathematics Information Theory and Coding
Series:
London Mathematical Society Lecture Note Series (423)
Information

Book description

Written for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix, and distance matrix. The book begins with a brief survey of the main results and selected applications to related topics, including chemistry, physics, biology, computer science, and control theory. The author then proceeds to detail proofs, discussions, comparisons, examples, and exercises. Each chapter ends with a brief survey of further results. The author also points to open problems and gives ideas for further reading.

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