Global Methods for Combinatorial Isoperimetric Problems

By: L. H. Harper

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Hardcover | 6 April 2004

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250 Pages

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22.86 x 15.24 x 1.75

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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.

Industry 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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You Can Find This Book In

Non-Fiction Mathematics Combinatorics & Graph Theory Probability & Statistics Science Science in General Computing & I.T.Computer Science Mathematical Theory of Computation

The edge-isoperimetric problem
The minimum path problem
Stabilization and compression
The vertex-isoperimetric problem
Stronger stabilization
Higher compression
Isoperimetric problems on infinite graphs
Isoperimetric problems on complexes
Morphisms for MWI problems
Passage to the limit
Afterword
The classical isoperimetric problem
Table of Contents provided by Publisher. All Rights Reserved.

Global Methods for Combinatorial Isoperimetric Problems

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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