Graph theory continues to be one of the fastest growing areas of modern
mathematics because of its wide applicability in such diverse
disciplines as computer science, engineering, chemistry, management
science, social science, and resource planning. Graphs arise as
mathematical models in these fields, and the theory of graphs provides a
spectrum of methods of proof. This concisely written textbook is
intended for an introductory course in graph theory for undergraduate
mathematics majors or advanced undergraduate and graduate students from
the many fields that benefit from graph-theoretic applications.
This second edition includes new chapters on labeling and communications
networks and small-worlds, as well as expanded beginner's material in
the early chapters, including more examples, exercises, hints and
solutions to key problems. Many additional changes, improvements, and
corrections resulting from classroom use and feedback have been added
throughout.