This is a book about graph homomorphisms. Graph theory is now an
established discipline but the study of graph homomorphisms has
only recently begun to gain wide acceptance and interest. The
subject gives a useful perspective in areas such as graph
reconstruction, products, fractional and circular colorings, and
has applications in complexity theory, artificial intelligence,
telecommunication, and, most recently, statistical physics.
Based on the authors' lecture notes for graduate courses, this
book can be used as a textbook for a second course in graph theory
at 4th year or master's level and has been used for courses at
Simon Fraser University (Vancouver), Charles University (Prague),
ETH (Zurich), and UFRJ (Rio de Janeiro).
The exercises vary in difficulty. The first few are usually
intended to give the reader an opportunity to practice the concepts
introduced in the chapter; the later ones explore related concepts,
or even introduce new ones. For the harder exercises hints and
references are provided.
The authors are well known for their research in this area and the
book will be invaluable to graduate students and researchers alike.
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