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ICALP
2007
Springer
13 years 11 months ago
Quasi-randomness and Algorithmic Regularity for Graphs with General Degree Distributions
Abstract. We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to measure how much a given graph...
Noga Alon, Amin Coja-Oghlan, Hiêp Hàn...
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 5 months ago
On the bias of traceroute sampling: or, power-law degree distributions in regular graphs
Understanding the graph structure of the Internet is a crucial step for building accurate network models and designing efficient algorithms for Internet applications. Yet, obtaini...
Dimitris Achlioptas, Aaron Clauset, David Kempe, C...
CAAN
2007
Springer
13 years 11 months ago
Cleaning Random d-Regular Graphs with Brushes Using a Degree-Greedy Algorithm
In the recently introduced model for cleaning a graph with brushes, we use a degree-greedy algorithm to clean a random d-regular graph on n vertices (with dn even). We then use a d...
Margaret-Ellen Messinger, Pawel Pralat, Richard J....
ECCC
2000
93views more  ECCC 2000»
13 years 5 months ago
Improved Approximation of MAX-CUT on Graphs of Bounded Degree
We analyze the addition of a simple local improvement step to various known randomized approximation algorithms. Let ' 0:87856 denote the best approximation ratio currently k...
Uriel Feige, Marek Karpinski, Michael Langberg