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APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 1 months 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
2008
ACM
112views Algorithms» more  SODA 2008»
13 years 9 months ago
The effect of induced subgraphs on quasi-randomness
One of the main questions that arise when studying random and quasi-random structures is which properties P are such that any object that satisfies P "behaves" like a tr...
Asaf Shapira, Raphael Yuster
ESA
1998
Springer
154views Algorithms» more  ESA 1998»
14 years 12 hour ago
A Functional Approach to External Graph Algorithms
We present a new approach for designing external graph algorithms and use it to design simple, deterministic and randomized external algorithms for computing connected components, ...
James Abello, Adam L. Buchsbaum, Jeffery Westbrook
ICALP
2004
Springer
14 years 1 months ago
Simple Permutations Mix Well
We study the random composition of a small family of O(n3 ) simple permutations on {0, 1}n . Specifically we ask what is the number of compositions needed to achieve a permutatio...
Shlomo Hoory, Avner Magen, Steven Myers, Charles R...
APPROX
2011
Springer
249views Algorithms» more  APPROX 2011»
12 years 7 months ago
A Canonical Form for Testing Boolean Function Properties
In a well-known result Goldreich and Trevisan (2003) showed that every testable graph property has a “canonical” tester in which a set of vertices is selected at random and the...
Dana Dachman-Soled, Rocco A. Servedio