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RSA
2011
124views more  RSA 2011»
13 years 2 months ago
Sparse random graphs with clustering
In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edge...
Béla Bollobás, Svante Janson, Oliver...
ICALP
2007
Springer
14 years 1 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...
SODA
1997
ACM
95views Algorithms» more  SODA 1997»
13 years 9 months ago
Randomly Sampling Molecules
We give a polynomial-time algorithm for the following problem: Given a degree sequence in which each degree is bounded from above by a constant, select, uniformly at random, an un...
Leslie Ann Goldberg, Mark Jerrum
ECCC
2008
122views more  ECCC 2008»
13 years 7 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
14 years 1 months ago
Implementing Huge Sparse Random Graphs
Consider a scenario where one desires to simulate the execution of some graph algorithm on random input graphs of huge, perhaps even exponential size. Sampling and storing these h...
Moni Naor, Asaf Nussboim