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» Distribution of subgraphs of random regular graphs
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ESA
2005
Springer
108views Algorithms» more  ESA 2005»
14 years 1 months ago
Bootstrapping a Hop-Optimal Network in the Weak Sensor Model
Sensor nodes are very weak computers that get distributed at random on a surface. Once deployed, they must wake up and form a radio network. Sensor network bootstrapping research t...
Martin Farach-Colton, Rohan J. Fernandes, Miguel A...
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 10 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
FOCS
2008
IEEE
14 years 2 months ago
Mixing Time of Exponential Random Graphs
A plethora of random graph models have been developed in recent years to study a range of problems on networks, driven by the wide availability of data from many social, telecommu...
Shankar Bhamidi, Guy Bresler, Allan Sly
CORR
2010
Springer
185views Education» more  CORR 2010»
13 years 7 months ago
Estimating and Sampling Graphs with Multidimensional Random Walks
Estimating characteristics of large graphs via sampling is a vital part of the study of complex networks. Current sampling methods such as (independent) random vertex and random w...
Bruno F. Ribeiro, Donald F. Towsley
GD
2004
Springer
14 years 1 months ago
Drawing Power Law Graphs
It has been noted that many realistic graphs have a power law degree distribution and exhibit the small world phenomenon. We present drawing methods influenced by recent developm...
Reid Andersen, Fan R. K. Chung, Lincoln Lu