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Emergence of the giant component in special Marcus–Lushnikov processes

Published Web Location

https://doi.org/10.1002/(sici)1098-2418(199803)12:2<179::aid-rsa2>3.0.co;2-u
Abstract

Component sizes in the usual random graph process are a special case of the Marcus-Lushnikov process discussed in the scientific literature, so it is natural to ask how theory surrounding emergence of the giant component generalizes to the Marcus-Lushnikov process. Essentially no rigorous results are known; we make a start by proving a weak result, but our main purpose is to draw this topic to the attention of random graph theorists. © 1998 John Wiley & Sons, Inc. Random Struct. Alg., 12, 179-196, 1998.

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