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  1. Home
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  3. Global Methods for Combinatorial Isoperimetric Problems
  • Cited by 49
Publisher:
Cambridge University Press
Online publication date:
February 2010
Print publication year:
2004
Online ISBN:
9780511616679
DOI:
https://doi.org/10.1017/CBO9780511616679
Subjects:
Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Optimization, OR and risk, Statistics and Probability
Series:
Cambridge Studies in Advanced Mathematics (90)
Information

Book description

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.

Reviews

"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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