Magic squares are among the more popular mathematical recreations.
Over the last 50 years, many generalizations of "magic" ideas have
been applied to graphs. Recently there has been a resurgence of
interest in "magic labelings" due to a number of results that have
applications to the problem of decomposing graphs into trees. Key
features of this second edition include: * a new chapter on magic
labeling of directed graphs * applications of theorems from graph
theory and interesting counting arguments * new research problems
and exercises covering a range of difficulties * a fully updated
bibliography and index This concise, self-contained exposition is
unique in its focus on the theory of magic graphs/labelings. It may
serve as a graduate or advanced undergraduate text for courses in
mathematics or computer science, and as reference for the
researcher.
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