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COMBINATORICA
2008
87views more  COMBINATORICA 2008»
13 years 4 months ago
Quasi-randomness and the distribution of copies of a fixed graph
We show that if a graph G has the property that all subsets of vertices of size n/4 contain the "correct" number of triangles one would expect to find in a random graph ...
Asaf Shapira
SIGMETRICS
2008
ACM
115views Hardware» more  SIGMETRICS 2008»
13 years 4 months ago
Densification arising from sampling fixed graphs
During the past decade, a number of different studies have identified several peculiar properties of networks that arise from a diverse universe, ranging from social to computer n...
Pedram Pedarsani, Daniel R. Figueiredo, Matthias G...
SODA
2008
ACM
112views Algorithms» more  SODA 2008»
13 years 6 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
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 5 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
STOC
2003
ACM
188views Algorithms» more  STOC 2003»
14 years 5 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