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FOCS
1992
IEEE
13 years 9 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 9 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 9 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 9 months ago
Fault Tolerant Graphs, Perfect Hash Functions and Disjoint Paths
Miklós Ajtai, Noga Alon, Jehoshua Bruck, Ro...
FOCS
1992
IEEE
13 years 9 months ago
Efficient Minimum Cost Matching Using Quadrangle Inequality
Alok Aggarwal, Amotz Bar-Noy, Samir Khuller, Dina ...
FOCS
1992
IEEE
13 years 9 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...