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» Critical Subgraphs of a Random Graph
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SODA
1996
ACM
95views Algorithms» more  SODA 1996»
13 years 11 months ago
RNC Algorithms for the Uniform Generation of Combinatorial Structures
We describe several RNC algorithms for generating graphs and subgraphs uniformly at random. For example, unlabelled undirected graphs are generated in O(lg3 n) time using O n2 lg3...
Michele Zito, Ida Pu, Martyn Amos, Alan Gibbons
FOCS
2008
IEEE
14 years 4 months ago
k-Wise Independent Random Graphs
We study the k-wise independent relaxation of the usual model G(N, p) of random graphs where, as in this model, N labeled vertices are fixed and each edge is drawn with probabili...
Noga Alon, Asaf Nussboim
CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 4 months ago
On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
Sonny Ben-Shimon, Michael Krivelevich, Benny Sudak...
SIGMOD
2010
ACM
260views Database» more  SIGMOD 2010»
14 years 2 months ago
Towards proximity pattern mining in large graphs
Mining graph patterns in large networks is critical to a variety of applications such as malware detection and biological module discovery. However, frequent subgraphs are often i...
Arijit Khan, Xifeng Yan, Kun-Lung Wu
ESA
2005
Springer
108views Algorithms» more  ESA 2005»
14 years 3 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...