Graph Spectra for Complex Networks (Paperback)
暫譯: 複雜網絡的圖譜分析 (平裝本)

Piet van Mieghem

  • 出版商: Cambridge
  • 出版日期: 2012-10-25
  • 售價: $2,570
  • 貴賓價: 9.5$2,442
  • 語言: 英文
  • 頁數: 364
  • 裝訂: Paperback
  • ISBN: 1107411475
  • ISBN-13: 9781107411470
  • 海外代購書籍(需單獨結帳)

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商品描述

Analyzing the behavior of complex networks is an important element in the design of new man-made structures such as communication systems and biologically engineered molecules. Because any complex network can be represented by a graph, and therefore in turn by a matrix, graph theory has become a powerful tool in the investigation of network performance. This self-contained book provides a concise introduction to the theory of graph spectra and its applications to the study of complex networks. Covering a range of types of graphs and topics important to the analysis of complex systems, this guide provides the mathematical foundation needed to understand and apply spectral insight to real-world systems. In particular, the general properties of both the adjacency and Laplacian spectrum of graphs are derived and applied to complex networks. An ideal resource for researchers and students in communications networking as well as in physics and mathematics.

商品描述(中文翻譯)

分析複雜網路的行為是設計新的人造結構(如通訊系統和生物工程分子)中的一個重要元素。因為任何複雜網路都可以用圖形表示,進而用矩陣表示,因此圖論已成為研究網路性能的強大工具。本書是一本自成體系的書籍,提供了圖譜理論及其在複雜網路研究中的應用的簡明介紹。涵蓋了多種圖形類型和對於複雜系統分析重要的主題,本指南提供了理解和應用譜洞察於現實系統所需的數學基礎。特別地,推導並應用圖形的鄰接譜和拉普拉斯譜的一般性質於複雜網路。這是通訊網路、物理學和數學領域的研究人員和學生的理想資源。