Extremal Combinatorial Problems and Their Applications

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.

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.

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Part course text for advanced graduate students and beginning engineers and part reference for the more experienced, develops methods for solving practical and mathematical problems arising in the creation of automatic control systems. Covers information from combinatorics, extremal problems on the packability of number partitions and graphs and systems of sets, extremal geometrical problems, and applications of the results of solving extremal combinatorial problems. Translated and radically revised from the Russian edition; the field of combinatorics is far advanced in Russia but little of the information has come to the West. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Front Matter....Pages I-XIV Analysis Correspondence....Pages 1-6 Some information from combinatorics....Pages 7-47 Extremal problems on packability of number partitions....Pages 49-99 Extremal problems on graphs and systems of sets....Pages 101-135 Extremal geometrical problems....Pages 137-154 Application of the results of solving extremal combinatorial problems....Pages 155-187 Back Matter....Pages 189-210 Based on both translated Western sources and original Russian material, this book 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.