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Random graphs and networks : = a fir...

Frieze, Alan, (1945-)

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Random graphs and networks : = a first course /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Random graphs and networks :/ Alan Frieze, Michał Karoński.
其他題名:	a first course /
其他題名:	First course
作者:	Frieze, Alan,
其他作者:	Karoński, Michał,
出版者:	Cambridge, United Kingdom ;Cambridge University Press, : 2023.,
面頁冊數:	xiii, 217 p. :ill. ;25 cm.
標題:	Random graphs. -
ISBN:	9781009260305

Random graphs and networks : = a first course /
Frieze, Alan,1945-

Random graphs and networks :a first course /First courseAlan Frieze, Michał Karoński. - Cambridge, United Kingdom ;Cambridge University Press,2023. - xiii, 217 p. :ill. ;25 cm.

Includes bibliographical references (p. [210]-215) and indexes.

Preliminaries.

Networks surround us, from social networks to protein-protein interaction networks within the cells of our bodies. The theory of random graphs provides a necessary framework for understanding their structure and development. This text provides an accessible introduction to this rapidly expanding subject. It covers all the basic features of random graphs - component structure, matchings and Hamilton cycles, connectivity and chromatic number - before discussing models of real-world networks, including intersection graphs, preferential attachment graphs and small-world models. Based on the authors' own teaching experience, it can be used as a textbook for a one-semester course on random graphs and networks at advanced undergraduate or graduate level. The text includes numerous exercises, with a particular focus on developing students' skills in asymptotic analysis. More challenging problems are accompanied by hints or suggestions for further reading--Publisher's description.

ISBN: 9781009260305GBP39.99

LCCN: 2022045535Subjects--Topical Terms:

731238
Random graphs.

LC Class. No.: QA166.17 / .F755 2023

Dewey Class. No.: 511/.5

Random graphs and networks : = a first course /
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020 $a 9781009260305 $q (pbk.) : $c GBP39.99
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245 1 0 $a Random graphs and networks : $b a first course / $c Alan Frieze, Michał Karoński.
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260 # $a Cambridge, United Kingdom ; $a New York, NY : $b Cambridge University Press, $c 2023.
300 $a xiii, 217 p. : $b ill. ; $c 25 cm.
504 $a Includes bibliographical references (p. [210]-215) and indexes.
505 0 0 $t Preliminaries. $t Introduction -- $t Basic tools -- $t Erdos-Renyi-Gilbert Model. $t Uniform and binomial random graphs -- $t Evolution -- $t Vertex degrees -- $t Connectivity -- $t Small subgraphs -- $t Large subgraphs -- $t Extreme characteristics -- $t Modeling Complex Networks. $t Inhomogeneous graphs -- $t Small world -- $t Network processes -- $t Intersection graphs -- $t Weighted graphs.
520 # $a Networks surround us, from social networks to protein-protein interaction networks within the cells of our bodies. The theory of random graphs provides a necessary framework for understanding their structure and development. This text provides an accessible introduction to this rapidly expanding subject. It covers all the basic features of random graphs - component structure, matchings and Hamilton cycles, connectivity and chromatic number - before discussing models of real-world networks, including intersection graphs, preferential attachment graphs and small-world models. Based on the authors' own teaching experience, it can be used as a textbook for a one-semester course on random graphs and networks at advanced undergraduate or graduate level. The text includes numerous exercises, with a particular focus on developing students' skills in asymptotic analysis. More challenging problems are accompanied by hints or suggestions for further reading--Publisher's description.
650 # 0 $a Random graphs. $3 731238
700 1 # $a Karoński, Michał, $e author. $3 3743798
776 0 8 $i ebook version : $z 9781009260268