This book is devoted to the study of classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. The author shows how the application of the generalized scheme of allocation in the study of random graphs and permutations reduces the combinatorial problems to classical problems of probability theory on the summation of independent random variables. He concentrates on research by Russian mathematicians, including a discussion of equations containing an unknown permutation and a presentation of techniques for solving systems of random linear equations in finite fields. These results will interest specialists in combinatorics and probability theory and will also be useful in applied areas of probabilistic combinatorics such as communication theory, cryptology, and mathematical genetics.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
This book is devoted to the study of classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. The author shows how the application of the generalized scheme of allocation in the study of random graphs and permutations reduces the combinatorial problems to classical problems of probability theory on the summation of independent random variables. He concentrates on research by Russian mathematicians, including a discussion of equations containing an unknown permutation and a presentation of techniques for solving systems of random linear equations in finite fields. These results will interest specialists in combinatorics and probability theory and will also be useful in applied areas of probabilistic combinatorics such as communication theory, cryptology, and mathematical genetics.
Review of the hardback: 'Many of the results appear here for the first time in an English translation. The book is therefore to be welcomed for bringing this material to a wider audience.' W. T. Gowers, Bulletin of the London Mathematical Society
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. Results of research on classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 268 pages, 4 line figures. BIC Classification: PBV. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 14. Weight in Grams: 380. . 2009. 1st Edition. paperback. . . . . N° de réf. du vendeur V9780521119689
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Etat : New. Results of research on classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 268 pages, 4 line figures. BIC Classification: PBV. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 14. Weight in Grams: 380. . 2009. 1st Edition. paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780521119689
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