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» Unicyclic Components in Random Graphs

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CPC
2007

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A Point Process Describing the Component Sizes in the Critical Window of the Random Graph Evolution

13 years 5 months ago

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We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n, p) in the critical window, that is, for p = n−1 + λn−4/...

Svante Janson, Joel Spencer

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WAW
2009
Springer

150views Algorithms» more WAW 2009»

The Giant Component in a Random Subgraph of a Given Graph

14 years 11 days ago

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We consider a random subgraph Gp of a host graph G formed by retaining each edge of G with probability p. We address the question of determining the critical value p (as a function...

Fan Chung Graham, Paul Horn, Linyuan Lu

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CORR
2008
Springer

75views Education» more CORR 2008»

On the Probability of the Existence of Fixed-Size Components in Random Geometric Graphs

13 years 5 months ago