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COMPGEOM
1992
ACM
13 years 8 months ago
A Subexponential Bound for Linear Programming
We present a simple randomized algorithm which solves linear programs with n constraints and d variables in expected minfO(d 22dn); e 2 pdln(n= p d)+O( p d+lnn)g time in the unit ...
Jirí Matousek, Micha Sharir, Emo Welzl
STOC
2003
ACM
110views Algorithms» more  STOC 2003»
14 years 5 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio
JDA
2010
122views more  JDA 2010»
12 years 11 months ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos
POPL
2012
ACM
12 years 9 days ago
Higher-order functional reactive programming in bounded space
Functional reactive programming (FRP) is an elegant and successful approach to programming reactive systems declaratively. The high levels of abstraction and expressivity that mak...
Neelakantan R. Krishnaswami, Nick Benton, Jan Hoff...
EJC
2008
13 years 4 months ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez