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9084 results in Discrete Mathematics, Information Theory and Coding

Page 2 of 455

Basic Graph Theory
  • Béla Bollobás, Robert Morris
  • Coming soon
  • Expected online publication date:
    March 2026
    Print publication:
    26 March 2026
  • Over the past few decades, graph theory has developed into one of the central areas of modern mathematics, with close (and growing) connections to areas of pure mathematics such as number theory, probability theory, algebra and geometry, as well as to applied areas such as the theory of networks, machine learning, statistical physics, and biology. It is a young and vibrant area, with several major breakthroughs having occurred in just the past few years. This book offers the reader a gentle introduction to the fundamental concepts and techniques of graph theory, covering classical topics such as matchings, colourings and connectivity, alongside the modern and vibrant areas of extremal graph theory, Ramsey theory, and random graphs. The focus throughout is on beautiful questions, ideas and proofs, and on illustrating simple but powerful techniques, such as the probabilistic method, that should be part of every young mathematician's toolkit.

Coding for Erasure Channels
  • Enrico Paolini, Gianluigi Liva, Balázs Matuz, Marco Chiani
  • Published online:
    25 February 2026
    Print publication:
    31 March 2026
  • Understand how to make wireless communication networks, digital storage systems and computer networks robust and reliable in the first unified, comprehensive treatment of erasure correcting codes. Data loss is unavoidable in modern computer networks; as such, data recovery can be crucial and these codes can play a central role. Through a focused, detailed approach, you will gain a solid understanding of the theory and the practical knowledge to analyze, design and implement erasure codes for future computer networks and digital storage systems. Starting with essential concepts from algebra and classical coding theory, the book provides specific code descriptions and efficient design methods, with practical applications and advanced techniques stemming from cutting-edge research. This is an accessible and self-contained reference, invaluable to both theorists and practitioners in electrical engineering, computer science and mathematics.

Essential Graph Theory
  • Concepts and Algorithms
  • T. Asir, M. Evangeline Prathibha, B. Surendranath Reddy
  • Coming soon
  • Expected online publication date:
    January 2026
    Print publication:
    31 March 2026
  • Designed for undergraduate students of computer science, mathematics, and engineering, this book provides the tools and understanding needed to master graph theory and algorithms. It offers a strong theoretical foundation, detailed pseudocodes, and a range of real-world and illustrative examples to bridge the gap between abstract concepts and practical applications. Clear explanations and chapter-wise exercises support ease of comprehension for learners. The text begins with the basic properties of graphs and progresses to topics such as trees, connectivity, and distances in graphs. It also covers Eulerian and Hamiltonian graphs, matchings, planar graphs, and graph colouring. The book concludes with discussions on independent sets, the Ramsey theorem, directed graphs and networks. Concepts are introduced in a structured manner, with appropriate context and support from mathematical language and diagrams. Algorithms are explained through rules, reasoning, pseudocode, and relevant examples.

Page 2 of 455