Extremal Combinatorial Problems and Their Applications

1. Front Matter

   Pages I-XIV

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2. Analysis Correspondence

   Pages 1-6

3. Some information from combinatorics

   Pages 7-47

4. Extremal problems on packability of number partitions

   Pages 49-99

5. Extremal problems on graphs and systems of sets

   Pages 101-135

6. Extremal geometrical problems

   Pages 137-154

7. Application of the results of solving extremal combinatorial problems

   Pages 155-187

8. Back Matter

   Pages 189-210

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Combinatorial research has proceeded vigorously in Russia over the last few decades, based on both translated Western sources and original Russian material. The present volume extends the extremal approach to the solution of a large class of problems, including some that were hitherto regarded as exclusively algorithmic, and broadens the choice of theoretical bases for modelling real phenomena in order to solve practical problems.
Audience: Graduate students of mathematics and engineering interested in the thematics of extremal problems and in the field of combinatorics in general. Can be used both as a textbook and as a reference handbook.

• Partition
• algorithms
• calculus
• combinatorics
• graphs
• mathematics
• modelling
• sets

• Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

  Boris S. Stechkin

• Korvus Company, Moscow, Russia

  Valeriy I. Baranov

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