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Zbl 0795.05127
Janson, Svante; Knuth, Donald E.; Ɓuczak, Tomasz; Pittel, Boris
The birth of the giant component.
(English)
[J] Random Struct. Algorithms 4, No.3, 233-358 (1993). ISSN 1042-9832; ISSN 1098-2418/e

A unified approach to graph evolution is presented based on the notions of excess and deficiency. The asymptotic structure of a Markov process is derived which describes how the components grow in cyclic complexity.
[O.Frank (Stockholm)]
MSC 2000:
*05C80 Random graphs
60J99 Markov processes

Keywords: giant component; random graph; graph evolution; excess; deficiency; Markov process; cyclic complexity

Cited in: Zbl 1052.01015

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Highlights
Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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