Global Methods for Combinatorial Isoperimetric Problems [Paperback]

This text explores global methods in combinatorial optimization and is suitable for graduate students and researchers.The study of combinatorial isoperimetric problems exploits similarities between discrete optimisation problems and the classical continuous setting. Based on many years' teaching experience, this text by Larry Harper focuses on global methods of problem solving. It will enable graduate students and researchers to quickly reach the current forefront of research in this topic. The author has included numerous worked examples, exercises and material about applications to computer science.The study of combinatorial isoperimetric problems exploits similarities between discrete optimisation problems and the classical continuous setting. Based on many years' teaching experience, this text by Larry Harper focuses on global methods of problem solving. It will enable graduate students and researchers to quickly reach the current forefront of research in this topic. The author has included numerous worked examples, exercises and material about applications to computer science.The study of combinatorial isoperimetric problems exploits similarities between discrete optimization problems and the classical continuous setting. Based on his many years of teaching experience, Larry Harper focuses on global methods of problem solving. His text will enable graduate students and researchers to quickly reach the most current state of research in this topic. Harper includes numerous worked examples, exercises and material about applications to computer science.1. 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. It is a very nice and useful book, l3K