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» Giant Component and Connectivity in Geographical Threshold G...
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HT
2009
ACM
14 years 2 months ago
Hyperincident connected components of tagging networks
Data created by social bookmarking systems can be described as 3-partite 3-uniform hypergraphs connecting documents, users, and tags (tagging networks), such that the toolbox of c...
Nicolas Neubauer, Klaus Obermayer
JCT
2008
65views more  JCT 2008»
13 years 7 months ago
Random graphs on surfaces
Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these invest...
Colin McDiarmid
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
14 years 1 months ago
Implementing Huge Sparse Random Graphs
Consider a scenario where one desires to simulate the execution of some graph algorithm on random input graphs of huge, perhaps even exponential size. Sampling and storing these h...
Moni Naor, Asaf Nussboim
APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 26 days ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
SODA
2007
ACM
127views Algorithms» more  SODA 2007»
13 years 8 months ago
Line-of-sight networks
Random geometric graphs have been one of the fundamental models for reasoning about wireless networks: one places n points at random in a region of the plane (typically a square o...
Alan M. Frieze, Jon M. Kleinberg, R. Ravi, Warren ...