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.
| ISBN: | 9780521119689 |
| Publication date: | 17th September 2009 |
| Author: | V F Steklov Institute of Mathematics, Moscow Kolchin |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 268 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Combinatorics and graph theory |
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.
Random Graphs features in the following genres: Combinatorics and graph theory
Random Graphs is available in Paperback
Random Graphs was written by V F Steklov Institute of Mathematics, Moscow Kolchin and published by Cambridge University Press
Random Graphs has 268 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£45.90