A Course on the Web Graph

A Course on the Web Graph

by Anthony Bonato
     
 

ISBN-10: 0821844679

ISBN-13: 9780821844670

Pub. Date: 04/11/2008

Publisher: American Mathematical Society

A Course on the Web Graph provides a comprehensive introduction to state-of-the-art research on the applications of graph theory to real-world networks such as the web graph. It is the first mathematically rigorous textbook discussing both models of the web graph and algorithms for searching the web. After introducing key tools required for the study of web graph

Overview

A Course on the Web Graph provides a comprehensive introduction to state-of-the-art research on the applications of graph theory to real-world networks such as the web graph. It is the first mathematically rigorous textbook discussing both models of the web graph and algorithms for searching the web. After introducing key tools required for the study of web graph mathematics, an overview is given of the most widely studied models for the web graph. A discussion of popular web search algorithms, e.g. PageRank, is followed by additional topics, such as applications of infinite graph theory to the web graph, spectral properties of power law graphs, domination in the web graph, and the spread of viruses in networks. The book is based on a graduate course taught at the AARMS 2006 Summer School at Dalhousie University. As such it is self-contained and includes over 100 exercises. The reader of the book will gain a working knowledge of current research in graph theory and its modern applications. In addition, the reader will learn first-hand about models of the web, and the mathematics underlying modern search engines. This book is published in cooperation with Atlantic Association for Research in the Mathematical Sciences (AARMS).

Product Details

ISBN-13:
9780821844670
Publisher:
American Mathematical Society
Publication date:
04/11/2008
Series:
Graduate Studies in Mathematics Series , #89
Pages:
184
Product dimensions:
7.10(w) x 10.20(h) x 0.70(d)

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