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DM
2006
124views more  DM 2006»
14 years 9 months ago
Hall ratio of the Mycielski graphs
Let n(G) denote the number of vertices of a graph G and let (G) be the independence number of G, the maximum number of pairwise nonadjacent vertices of G. The Hall ratio of a grap...
Mathew Cropper, András Gyárfá...
FOCS
1992
IEEE
15 years 1 months ago
Probabilistic Checking of Proofs; A New Characterization of NP
We give a new characterization of NP: the class NP contains exactly those languages L for which membership proofs (a proof that an input x is in L) can be verified probabilisticall...
Sanjeev Arora, Shmuel Safra
ESSOS
2009
Springer
15 years 4 months ago
Report: Extensibility and Implementation Independence of the .NET Cryptographic API
Abstract. When a vulnerability is discovered in a cryptographic algorithm, or in a specific implementation of that algorithm, it is important that software using that algorithm or...
Pieter Philippaerts, Cédric Boon, Frank Pie...
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
15 years 9 months ago
Testing k-wise and almost k-wise independence
In this work, we consider the problems of testing whether a distribution over {0, 1}n is k-wise (resp. ( , k)-wise) independent using samples drawn from that distribution. For the...
Noga Alon, Alexandr Andoni, Tali Kaufman, Kevin Ma...
SWAT
2010
Springer
250views Algorithms» more  SWAT 2010»
15 years 2 months ago
Fixed-Parameter Algorithms for Cochromatic Number and Disjoint Rectangle Stabbing
Given a permutation π of {1, . . . , n} and a positive integer k, we give an algorithm with running time 2O(k2 log k) nO(1) that decides whether π can be partitioned into at mos...
Pinar Heggernes, Dieter Kratsch, Daniel Lokshtanov...