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Focusing on combinatorial aspects of Information Theory, this volume explores how coding problems shift from probabilistic to combinatorial, particularly through the lens of zero-error codes. It highlights key concepts like Shannon's zero-error capacity, which involves analyzing independent sets in graphs. Additionally, the text delves into the complexities introduced by multiple access channels, exemplified by the Zarankiewicz problem, providing a rigorous examination of the interplay between combinatorics and information theory.
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Combinatorial Methods and Models, Rudolf Ahlswede
- Language
- Released
- 2017
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- (Hardcover)
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- Title
- Combinatorial Methods and Models
- Subtitle
- Rudolf Ahlswedes Lectures on Information Theory 4
- Language
- English
- Authors
- Rudolf Ahlswede
- Publisher
- Springer International Publishing
- Released
- 2017
- Format
- Hardcover
- Pages
- 404
- ISBN13
- 9783319531373
- Category
- Mathematics, Computers, IT, Programming
- Description
- Focusing on combinatorial aspects of Information Theory, this volume explores how coding problems shift from probabilistic to combinatorial, particularly through the lens of zero-error codes. It highlights key concepts like Shannon's zero-error capacity, which involves analyzing independent sets in graphs. Additionally, the text delves into the complexities introduced by multiple access channels, exemplified by the Zarankiewicz problem, providing a rigorous examination of the interplay between combinatorics and information theory.