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» The metamathematics of random graphs
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RSA
2010
91views more  RSA 2010»
14 years 8 months ago
The second largest component in the supercritical 2D Hamming graph
The 2-dimensional Hamming graph H(2, n) consists of the n2 vertices (i, j), 1 ≤ i, j ≤ n, two vertices being adjacent when they share a common coordinate. We examine random sub...
Remco van der Hofstad, Malwina J. Luczak, Joel Spe...
FOCS
2000
IEEE
15 years 2 months ago
Random graph models for the web graph
Ravi Kumar, Prabhakar Raghavan, Sridhar Rajagopala...
CPC
2007
101views more  CPC 2007»
14 years 9 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald