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JANSON, SVANTE; LUCZAK, TOMASZ; AND RuCI,SKI, ANDRZEJ 2000, Random Graphs, John Wiley and Sons, New York, 333 pp., $74.95.
Random Graphs by Svante Janson, Tomasz Luczak, and Andrzej Rucinski provides one of the most up-todate and comprehensive accounts of random graph theory available to date. This text is written for research scientists, including those working in discrete mathematics and theoretical computer science, and for students in random graph theory possessing knowledge in combinatorics, graph theory, and probability theory.
As this text reveals, the field of random graph theory is dynamic and growing. Research and applications in random graph theory have appeared in numerous publications (for additional information, see Bollobas 1985, 2001.) In this review, I will briefly describe the range and depth of understanding that has been achieved to date and that is presented in Random Graphs.
In Chapters 1 through 9, the primary problem the...