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FOCS
2008
IEEE
15 years 10 months ago
Noise Tolerance of Expanders and Sublinear Expander Reconstruction
We consider the problem of online sublinear expander reconstruction and its relation to random walks in “noisy” expanders. Given access to an adjacency list representation of ...
Satyen Kale, Yuval Peres, C. Seshadhri
SIGMETRICS
2005
ACM
15 years 9 months ago
On lifetime-based node failure and stochastic resilience of decentralized peer-to-peer networks
—To model P2P networks that are commonly faced with high rates of churn and random departure decisions by end-users, this paper investigates the resilience of random graphs to li...
Derek Leonard, Vivek Rai, Dmitri Loguinov
JSAT
2006
73views more  JSAT 2006»
15 years 4 months ago
Impurity: Another Phase Transition of SAT
It is well known that satisfiability of random sets of propositional clauses undergoes phase transition while the clause-to-variable ratio of the sets increases. We introduce anot...
Eliezer L. Lozinskii
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
15 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
COMPGEOM
1997
ACM
15 years 8 months ago
The Area Bisectors of a Polygon and Force Equilibria in Programmable Vector Fields
We consider the family of area bisectors of a polygon possibly with holes in the plane. We say that two bisectors of a polygon P are combinatorially distinct if they induce di e...
Karl-Friedrich Böhringer, Bruce Randall Donal...