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APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
13 years 10 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
LCN
2007
IEEE
13 years 10 months ago
Search Algorithms for Unstructured Peer-to-Peer Networks
Abstract—We study the performance of several search algorithms on unstructured peer-to-peer networks, both using classic search algorithms such as flooding and random walk, as w...
Reza Dorrigiv, Alejandro López-Ortiz, Pawel...
FOCS
2007
IEEE
13 years 11 months ago
Reconstruction for Models on Random Graphs
Consider a collection of random variables attached to the vertices of a graph. The reconstruction problem requires to estimate one of them given ‘far away’ observations. Sever...
Antoine Gerschenfeld, Andrea Montanari
FOCS
2008
IEEE
13 years 11 months 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
WAW
2009
Springer
138views Algorithms» more  WAW 2009»
13 years 11 months ago
Information Theoretic Comparison of Stochastic Graph Models: Some Experiments
The Modularity-Q measure of community structure is known to falsely ascribe community structure to random graphs, at least when it is naively applied. Although Q is motivated by a ...
Kevin J. Lang
ICALP
2009
Springer
13 years 11 months ago
Quasirandom Rumor Spreading: Expanders, Push vs. Pull, and Robustness
Abstract Randomized rumor spreading is an efficient protocol to distribute information in networks. Recently, a quasirandom version has been proposed and proven to work equally we...
Benjamin Doerr, Tobias Friedrich, Thomas Sauerwald
STOC
2009
ACM
106views Algorithms» more  STOC 2009»
14 years 5 months ago
Random graphs and the parity quantifier
The classical zero-one law for first-order logic on random graphs says that for every first-order property in the theory of graphs and every p (0, 1), the probability that the r...
Phokion G. Kolaitis, Swastik Kopparty

Book
1174views
15 years 2 months ago
Graph Theory
A well-written book about graph theory.
Reinhard Diestel