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RSA
2006
132views more  RSA 2006»
14 years 9 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»
15 years 9 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»
14 years 11 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»
15 years 9 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»
12 years 12 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...