Graph theory has become a primary tool for detecting hidden structures in information networks, including Internet graphs, social and biological networks, or any situation requiring large data sets. Based on ten lectures given at the CBMS Workshop on the Combinatorics of Large Sparse Graphs at California State U. at San Marcos in June 2004, this covers the basics of graph theory, including degree sequences and the power law, old and new concentration inequalities, including the work of Chernoff, Martingale and Azuma, the preferential attachment scheme as a generative model, duplication models for biological networks, random graphs and given expected degrees, the rise of the "giant component," average distance and the diameter, Eigenvalues of the adjacent matrix of G(w) and the semi-circle law, coupling online and off-line analyses of random graphs, the configuration model for power law graphs, and the "small world" phenomenon in hybrid graphs. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)
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Book by Linyuan Lu Fan Chung
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Condizione: New. 2006. Paperback. Based on lectures given at the CBMS Workshop on the Combinatorics of Large Sparse Graphs, this work presents fresh perspectives in graph theory and helps to contribute to a sound scientific foundation for our understanding of discrete networks that permeate the information age. Series: CBMS Regional Conference Series in Mathematics. Num Pages: 264 pages, Illustrations (some col.). BIC Classification: PBT; PBV; PBWL; UYA. Category: (P) Professional & Vocational. Dimension: 254 x 181 x 16. Weight in Grams: 674. . . . . . Codice articolo V9780821836576
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Paperback. Condizione: New. 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. Codice articolo LU-9780821836576
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Condizione: New. 2006. Paperback. Based on lectures given at the CBMS Workshop on the Combinatorics of Large Sparse Graphs, this work presents fresh perspectives in graph theory and helps to contribute to a sound scientific foundation for our understanding of discrete networks that permeate the information age. Series: CBMS Regional Conference Series in Mathematics. Num Pages: 264 pages, Illustrations (some col.). BIC Classification: PBT; PBV; PBWL; UYA. Category: (P) Professional & Vocational. Dimension: 254 x 181 x 16. Weight in Grams: 674. . . . . . Books ship from the US and Ireland. Codice articolo V9780821836576
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Paperback. Condizione: New. 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. Codice articolo LU-9780821836576
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