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» The Spectral Gap of a Random Subgraph of a Graph
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CPC
2006
92views more  CPC 2006»
13 years 5 months ago
Waiting for a Bat to Fly By (in Polynomial Time)
We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans...
Itai Benjamini, Gady Kozma, László L...
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 8 months ago
Polynomial integrality gaps for strong SDP relaxations of Densest k-subgraph
The Densest k-subgraph problem (i.e. find a size k subgraph with maximum number of edges), is one of the notorious problems in approximation algorithms. There is a significant g...
Aditya Bhaskara, Moses Charikar, Aravindan Vijayar...
FOCS
2008
IEEE
14 years 6 days 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
SIAMDM
2008
79views more  SIAMDM 2008»
13 years 5 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...
RSA
2008
89views more  RSA 2008»
13 years 5 months ago
Simple permutations mix even better
We study the random composition of a small family of O(n3 ) simple permutations on {0, 1}n . Specifically we ask how many randomly selected simple permutations need be composed to...
Alex Brodsky, Shlomo Hoory