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» The metamathematics of random graphs
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COMBINATORICS
2006
131views more  COMBINATORICS 2006»
15 years 1 months ago
Encores on Cores
We give a new derivation of the threshold of appearance of the k-core of a random graph. Our method uses a hybrid model obtained from a simple model of random graphs based on rand...
Julie Cain, Nicholas C. Wormald
COMPGEOM
2009
ACM
15 years 8 months ago
Randomly removing g handles at once
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
Glencora Borradaile, James R. Lee, Anastasios Sidi...
DM
2011
264views Education» more  DM 2011»
14 years 8 months ago
Connectivity threshold and recovery time in rank-based models for complex networks
The World Wide Web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to an...
Pawel Pralat
SSS
2010
Springer
134views Control Systems» more  SSS 2010»
14 years 12 months ago
Storage Capacity of Labeled Graphs
We consider the question of how much information can be stored by labeling the vertices of a connected undirected graph G using a constant-size set of labels, when isomorphic label...
Dana Angluin, James Aspnes, Rida A. Bazzi, Jiang C...
94
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RSA
2006
88views more  RSA 2006»
15 years 1 months ago
Randomly coloring sparse random graphs with fewer colors than the maximum degree
We analyze Markov chains for generating a random k-coloring of a random graph Gn,d/n. When the average degree d is constant, a random graph has maximum degree (log n/ log log n), ...
Martin E. Dyer, Abraham D. Flaxman, Alan M. Frieze...