Complex Graphs and Networks (CBMS Regional Conference Series in Mathematics) - Softcover

Chung, Fan R. K.; Lu, Linyuan

Softcover

ISBN 10: 0821836579 ISBN 13: 9780821836576

Publisher: American Mathematical Society, 2006

Synopsis

Through examples of large complex graphs in realistic networks, research in graph theory has been forging ahead into exciting new directions. Graph theory has emerged as a primary tool for detecting numerous hidden structures in various information networks, including Internet graphs, social networks, biological networks, or, more generally, any graph representing relations in massive data sets. How will we explain from first principles the universal and ubiquitous coherence in the structure of these realistic but complex networks? In order to analyze these large sparse graphs, we use combinatorial, probabilistic, and spectral methods, as well as new and improved tools to analyze these networks. The examples of these networks have led us to focus on new, general, and powerful ways to look at graph theory.The book, based on lectures given at the CBMS Workshop on the Combinatorics of Large Sparse Graphs, presents new perspectives in graph theory and helps to contribute to a sound scientific foundation for our understanding of discrete networks that permeate this information age.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2006
• Language: English
• ISBN 10: 0821836579
• ISBN 13: 9780821836576
• Binding: Paperback
• Number of pages: 264