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<図書>
Random Graphs

責任表示 Béla Bollobás
シリーズ Cambridge studies in advanced mathematics ; 73
データ種別 図書
2nd ed
出版者 Cambridge, [Eng.] ; New York : Cambridge University Press
出版年 2001
本文言語 英語
大きさ xviii, 498 p. ; 24cm
概要 This is a new edition of the now classic text. The already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results...and 150 references means that this represents an up-to-date and comprehensive account of random graph theory. The theory estimates the number of graphs of a given degree that exhibit certain properties. It not only has numerous combinatorial applications, but also serves as a model for the probabilistic treatment of more complicated random structures. This book, written by an acknowledged expert in the field, can be used by mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics. It is self contained, and with numerous exercises in each chapter, is ideal for advanced courses or self study.
Probabilistic concepts have proven important in the study of graphs since Erdos and Renyi's founding of the theory of random graphs in the early 1960s. Their student, Bollobas (U. of Memphis; Trinity College, Cambridge), treats random graphs as evolving over time. "Our task is to determine at what stage of the evolution a particular property of the graph is likely to arise." Includes exercises of varying difficulty, and 38 pages of references relevant to such branches of math as number theory, combinatorics, and computer science. First published in 1985 by Academic Press. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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所蔵情報

: hbk. 理系図3F 数理独自 023212001005202 BOLL/40/6 2001
: pbk 理系図1F 開架 031212014613234 415.7/B 63 2001

書誌詳細

一般注記 Includes bibliographical references (p. 457-495) and index
著者標目 *Bollobás, Béla
件 名 LCSH:Random graphs
分 類 LCC:QA166.17
DC21:511/.5
書誌ID 1001404222
ISBN 0521809207
NCID BA5354590X
巻冊次 : hbk ; ISBN:0521809207
: pbk ; ISBN:9780521797221 ; XISBN:0521797225
登録日 2009.11.02
更新日 2017.03.14

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