| Description |
1 online resource (xi, 252 pages) : illustrations |
| Series |
Encyclopedia of mathematics and its applications ; volume 53 |
|
Encyclopedia of mathematics and its applications ; v. 53.
|
| Contents |
1. The generalized scheme of allocation and the components of random graphs -- 2. Evolution of random graphs -- 3. Systems of random linear equations in GF(2) -- 4. Random permutations -- 5. Equations containing an unknown permutation |
| Summary |
The 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 recent research by Russian mathematicians, including a discussion of equations containing an unknown permutation |
|
This is the first English-language presentation of techniques for analyzing systems of random linear equations in finite fields. These new 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 |
| Bibliography |
Includes bibliographical references (pages 241-249) and index |
| Notes |
English |
|
Print version record |
| Subject |
Random graphs.
|
|
MATHEMATICS -- General.
|
|
Random graphs
|
|
Grafentheorie.
|
|
Graphes aléatoires.
|
| Form |
Electronic book
|
| ISBN |
9781107088467 |
|
1107088461 |
|
1139886460 |
|
9781139886468 |
|
0511957688 |
|
9780511957680 |
|
1107102936 |
|
9781107102934 |
|
0521119685 |
|
9780521119689 |
|
1107091438 |
|
9781107091436 |
|
1107094658 |
|
9781107094659 |
|
