Spectral Generalizations of Line Graphs

On Graphs with Least Eigenvalue -2

Spectral Generalizations of Line Graphs

Line graphs have the property that their least eigenvalue is greater than, or equal to, -2, a property shared by generalized line graphs and a finite number of so-called exceptional graphs. This book deals with all these families of graphs in the context of their spectral properties. Technical descriptions of these graphs are included in the appendices, while the bibliography provides over 250 references. It will be an important resource for all researchers with an interest in algebraic graph theory.


 Reviews:

"This work deserves a place on the bookshelf of the mathematician with a serious interest in the theory of graph spectra." - Mathematical Reviews, M. Doob

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