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. The authors discuss the three principal
techniques that have been employed, namely 'forbidden subgraphs',
'root systems' and 'star complements'. They bring together the
major results in the area, including the recent construction of all
the maximal exceptional graphs. Technical descriptions of these
graphs are included in the appendices, while the bibliography
provides over 250 references. This will be an important resource
for all researchers with an interest in algebraic graph theory.
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