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Graph Theory and Complex Networks: An Introduction
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  • Title Graph Theory and Complex Networks: An Introduction
  • Authors Maarten van Steen
  • Publisher: Maarten van Steen (April 5, 2010)
  • Paperback: 300 pages
  • eBook PDF, 299 pages, 6.5 MB
  • Language: English
  • ISBN-10: 9081540610
  • ISBN-13: 978-9081540612
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Book Description

This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern field of network science.

Mathematics is often unnecessarily difficult for students, at times even intimidating. For this reason, explicit attention is paid in the first chapters to mathematical notations and proof techniques, emphasizing that the notations form the biggest obstacle, not the mathematical concepts themselves. This approach allows to gradually prepare students for using tools that are necessary to put graph theory to work: Complex Networks.

In the second part of the book the student learns about random networks, small worlds, the structure of the Internet and the Web, peer-to-peer systems, and social networks.

Again, everything is discussed at an elementary level, but such that in the end students indeed have the feeling that they: 1.Have learned how to read and understand the basic mathematics related to graph theory. 2.Understand how basic graph theory can be applied to optimization problems such as routing in communication networks. 3.Know a bit more about this sometimes mystical field of small worlds and random networks.

About the Authors
  • Maarten van Steen is full professor at the Computer Science department of VU University Amsterdam, The Netherlands. He mainly teaches in the field of distributed systems, computer networks, and operating systems.
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