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The Volume of the Giant Component of a Random Graph with Given Expected Degrees

✍ Scribed by Chung, Fan; Lu, Linyuan


Book ID
118196897
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
216 KB
Volume
20
Category
Article
ISSN
0895-4801

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On a random graph with immigrating verti
✍ David J. Aldous; Boris Pittel πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 186 KB πŸ‘ 2 views

A randomly evolving graph, with vertices immigrating at rate n and each possible edge appearing at rate 1/n, is studied. The detailed picture of emergence of giant components with O n 2/3 vertices is shown to be the same as in the ErdΕ‘s-RΓ©nyi graph process with the number of vertices fixed at n at t