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STOC
1990
ACM
96views Algorithms» more  STOC 1990»
14 years 3 months ago
Monotone Circuits for Matching Require Linear Depth
We prove that monotone circuits computing the perfect matching function on n-vertex graphs require (n) depth. This implies an exponential gap between the depth of monotone and non...
Ran Raz, Avi Wigderson
STOC
1990
ACM
95views Algorithms» more  STOC 1990»
14 years 3 months ago
Separators in Two and Three Dimensions
a 3-dimensions a separator size where is the ber of 3-simplexes in and is the number of ization of the separator results for planar graphs, such as the and Tarjan planar separator...
Gary L. Miller, William P. Thurston
STOC
1990
ACM
81views Algorithms» more  STOC 1990»
14 years 3 months ago
Approximate Inclusion-Exclusion
Nathan Linial, Noam Nisan
STOC
1990
ACM
99views Algorithms» more  STOC 1990»
14 years 3 months ago
The Number Field Sieve
The number field sieve is an algorithm to factor integers of the form re
Arjen K. Lenstra, Hendrik W. Lenstra Jr., Mark S. ...
STOC
1990
ACM
78views Algorithms» more  STOC 1990»
14 years 3 months ago
Computing in Quotient Groups
William M. Kantor, Eugene M. Luks
STOC
1990
ACM
108views Algorithms» more  STOC 1990»
14 years 3 months ago
Optimal Randomized Algorithms for Local Sorting and Set-Maxima
We present randomized algorithms for two sorting problems. In the local sorting problem, a graph is given in which each vertex is assigned an element of a total order, and the task...
Wayne Goddard, Valerie King, Leonard J. Schulman
STOC
1990
ACM
93views Algorithms» more  STOC 1990»
14 years 3 months ago
Perfect Zero-Knowledge in Constant Rounds
Quadratic residuosity and graph isomorphism are classic problems and the canonical examples of zero-knowledge languages. However, despite much research e ort, all previous zerokno...
Mihir Bellare, Silvio Micali, Rafail Ostrovsky
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
14 years 3 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas