This 2004 text explores global methods in combinatorial optimization and is suitable for graduate students and researchers.
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Table of Contents1. The edge-isoperimetric problem; 2. The minimum path problem; 3. Stabilization and compression; 4. The vertex-isoperimetric problem; 5. Stronger stabilization; 6. Higher compression; 7. Isoperimetric problems on infinite graphs; 8. Isoperimetric problems on complexes; 9. Morphisms for MWI problems; 10. Passage to the limit; 11. Afterword; 12. The classical isoperimetric problem.
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