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Global Methods for Combinatorial Isoperimetric Problems / Edition 1

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Overview

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.

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Editorial Reviews

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"It is a very nice and useful book, written by a real expert in the field. I believe that both specialists in the area and mathematicians with other backgrounds will find lots of new interesting material in this book." Igor Shparlinski, Mathematics of Computation
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Product Details

  • ISBN-13: 9780521832687
  • Publisher: Cambridge University Press
  • Publication date: 1/31/2004
  • Series: Cambridge Studies in Advanced Mathematics Series , #90
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 246
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.75 (d)

Table of Contents

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.

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