Certain constrained combinatorial optimization problems have a
natural analogue in the continuous setting of the classical
isoperimetric problem. The study of so called combinatorial
isoperimetric problems exploits similarities between these two,
seemingly disparate, settings. This text focuses on global methods.
This means that morphisms, typically arising from symmetry or
direct product decomposition, are employed to transform new
problems into more restricted and easily solvable settings whilst
preserving essential structure. This book is based on Professor
Harper's many years' experience in teaching this subject and is
ideal for graduate students entering the field. The author has
increased the utility of the text for teaching by including worked
examples, exercises and material about applications to computer
science. Applied systematically, the global point of view can lead
to surprising insights and results, and established researchers
will find this to be a valuable reference work on an innovative
method for problem solving.
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