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RSA
2006
132views more  RSA 2006»
13 years 4 months ago
Almost universal graphs
We study the question as to when a random graph with n vertices and m edges contains a copy of almost all graphs with n vertices and cn/2 edges, c
Alan M. Frieze, Michael Krivelevich
STOC
2003
ACM
188views Algorithms» more  STOC 2003»
14 years 4 months ago
Almost random graphs with simple hash functions
We describe a simple randomized construction for generating pairs of hash functions h1, h2 from a universe U to ranges V = [m] = {0, 1, . . . , m - 1} and W = [m] so that for ever...
Martin Dietzfelbinger, Philipp Woelfel
SODA
2001
ACM
138views Algorithms» more  SODA 2001»
13 years 6 months ago
The diameter of random massive graphs
Many massive graphs (such as the WWW graph and Call graphs) share certain universal characteristics which can be described by so-called the "power law". Here we determin...
Linyuan Lu
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
14 years 4 months ago
Testing k-wise and almost k-wise independence
In this work, we consider the problems of testing whether a distribution over {0, 1}n is k-wise (resp. ( , k)-wise) independent using samples drawn from that distribution. For the...
Noga Alon, Alexandr Andoni, Tali Kaufman, Kevin Ma...
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 7 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...