Extremal Combinatorial Problems and Their Applications [Hardcover]

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.
Preface to the English edition. Introduction to the English edition. Preface. Analysis Correspondence. 1. Some information from combinatorics. 2. Extremal problems on packability of number partitions. 3. Extremal problems on graphs and systems of sets. 4. Extremal geometrical problems. 5. Application of the results of solving extremal combinatorial problems. Bibliography. Index of Symbols. Index.