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FOCS
1992
IEEE
13 years 11 months ago
Safe and Effective Determinant Evaluation
The problem of evaluating the sign of the determinant of a small matrix arises in many geometric algorithms. Given an n
Kenneth L. Clarkson
FOCS
1992
IEEE
13 years 11 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
FOCS
1992
IEEE
13 years 11 months ago
Witnesses for Boolean Matrix Multiplication and for Shortest Paths
Abstract Summary of results The subcubic (O(n ) for < 3) algorithms to multiply Boolean matrices do not provide the witnesses; namely, they compute C = AB but if Cij = 1 they d...
Noga Alon, Zvi Galil, Oded Margalit, Moni Naor
FOCS
1992
IEEE
13 years 11 months ago
Fault Tolerant Graphs, Perfect Hash Functions and Disjoint Paths
Miklós Ajtai, Noga Alon, Jehoshua Bruck, Ro...
FOCS
1992
IEEE
13 years 11 months ago
Efficient Minimum Cost Matching Using Quadrangle Inequality
Alok Aggarwal, Amotz Bar-Noy, Samir Khuller, Dina ...
FOCS
1992
IEEE
13 years 11 months ago
Dynamic Half-Space Reporting, Geometric Optimization, and Minimum Spanning Trees
We describe dynamic data structures for half-space range reporting and for maintaining the minima of a decomposable function. Using these data structures, we obtain efficient dyna...
Pankaj K. Agarwal, David Eppstein, Jirí Mat...