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Random graphs and complex networks. Volume 1

  • 作者: Hofstad, Remco van der, author.
  • 其他題名:
    • Cambridge series on statistical and probabilistic mathematics ;
  • 出版: Cambridge : Cambridge University Press
  • 叢書名: Cambridge series in statistical and probabilistic mathematics ;43
  • 主題: Random graphs.
  • ISBN: 9781316779422 (electronic bk.) 、 9781107172876 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 摘要註: This rigorous introduction to network science presents random graphs as models for real-world networks. Such networks have distinctive empirical properties and a wealth of new models have emerged to capture them. Classroom tested for over ten years, this text places recent advances in a unified framework to enable systematic study. Designed for a master's-level course, where students may only have a basic background in probability, the text covers such important preliminaries as convergence of random variables, probabilistic bounds, coupling, martingales, and branching processes. Building on this base - and motivated by many examples of real-world networks, including the Internet, collaboration networks, and the World Wide Web - it focuses on several important models for complex networks and investigates key properties, such as the connectivity of nodes. Numerous exercises allow students to develop intuition and experience in working with the models.
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  • 系統號: 005458662 | 機讀編目格式
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