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» Random graphs and the parity quantifier
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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
GLOBECOM
2006
IEEE
13 years 10 months ago
Harnessing the Parity of Multiple Errors in End-to-End MAC Schemes
— We present the results of simulation experiments that compare end-to-end error management (used in controlled access MAC protocols) against hop-by-hop error management (used in...
Ghassen Ben Brahim, Bilal Khan, Ala I. Al-Fuqaha, ...
CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 4 months ago
Generating Random Graphs with Large Girth
We present a simple and efficient algorithm for randomly generating simple graphs without small cycles. These graphs can be used to design high performance Low-Density Parity-Chec...
Mohsen Bayati, Andrea Montanari, Amin Saberi
APPROX
2009
Springer
98views Algorithms» more  APPROX 2009»
13 years 11 months ago
Random Tensors and Planted Cliques
The r-parity tensor of a graph is a generalization of the adjacency matrix, where the tensor’s entries denote the parity of the number of edges in subgraphs induced by r distinc...
S. Charles Brubaker, Santosh Vempala
LATA
2010
Springer
14 years 2 months ago
Untestable Properties Expressible with Four First-Order Quantifiers
Abstract. In property testing, the goal is to distinguish between structures that have some desired property and those that are far from having the property, after examining only a...
Charles Jordan and Thomas Zeugmann