Yes limited combinatorial optimization difficulties have a common analogue within the non-stop surroundings of the classical isoperimetric challenge. The research of so referred to as combinatorial isoperimetric difficulties exploits similarities among those , doubtless disparate, settings. this article makes a speciality of international tools. which means morphisms, ordinarily bobbing up from symmetry or direct product decomposition, are hired to remodel new difficulties into extra constrained and simply solvable settings when holding crucial constitution. This booklet is predicated on Professor Harper's decades' event in educating this topic and is perfect for graduate scholars getting into the sphere. the writer has elevated the software of the textual content for educating via together with labored examples, workouts and fabric approximately purposes to laptop technological know-how. utilized systematically, the worldwide viewpoint may end up in spectacular insights and effects, and confirmed researchers will locate this to be a precious reference paintings on an leading edge procedure for challenge fixing.

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