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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