Название: Topology Design for Large-Scale Interconnection Networks: A Modern Approach
Автор: Ziyu Shao, Yicheng Deng
Издательство: Wiley
Год: 2026
Страниц: 401
Язык: английский
Формат: pdf
Размер: 10.1 MB

Transforming Network Topology Design from Art to Science.

For decades, the design of large-scale network topologies has relied heavily on heuristic intuition and bottom-up engineering experience. While classic structures like Fat-tree have achieved immense success, the underlying mathematical principles governing their performance have remained largely implicit. This book introduces the first general framework capable of systematically generating and optimizing large-scale network topologies through a rigorous top-down approach. It reveals the hidden mathematical principles behind successful engineering designs, using Ramanujan graphs and combinatorial designs to achieve the optimal trade-off among various performance metrics. From clarifying the success of classic Fat-tree topology to designing future-proof AI clusters, this framework provides a universal blueprint for next-generation interconnection networks.

Why should we uncover the hidden mathematical problems and principles when a solution already exists? Because only by doing so can we understand when such solutions work well, when they do not, and how to systematically improve them in a top-down manner. In other words, we seek to understand not only how but also why. In fact, many classic designs in network communication and computing – including TCP and BGP on the Internet, CSMA in wireless networks, and BitTorrent in peer-to-peer networks, have had their underlying mathematical problems and principles uncovered, serving as successful examples of the reverse-and-forward engineering approach. My starting point at the time was to perform reverse engineering on the Fat-tree topology, the most commonly used topology in data center networks.

It is an essential guide for researchers, engineers, industry professionals and students seeking to master the topology design and analysis of interconnection networks.

Topics explored in this book include:

Mathematical background of topology design, including basic graph theory, algebra graph theory and combinatorial design
A unified topology design flow, including intra-module design, connection design, inter-module design, and finalization
Reinterpretation and evolution of several representative topology design instances, including families of fat-tree, HyperX, Dcell, and Bcube
The design method of brand-new topologies from scratch and guiding principles for the selection of design patterns and parameters
Applications to intelligent computing center (AI Cluster) and other emerging scenarios
Future directions of topology design, including both theoretical exploration and practical extension

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