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ICALP
2001
Springer
15 years 10 months ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
15 years 10 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
COMPGEOM
2007
ACM
15 years 9 months ago
Guard placement for efficient point-in-polygon proofs
We consider the problem of placing a small number of angle guards inside a simple polygon P so as to provide efficient proofs that any given point is inside P. Each angle guard vi...
David Eppstein, Michael T. Goodrich, Nodari Sitchi...
COCO
2010
Springer
129views Algorithms» more  COCO 2010»
15 years 9 months ago
On the Relative Strength of Pebbling and Resolution
The last decade has seen a revival of interest in pebble games in the context of proof complexity. Pebbling has proven to be a useful tool for studying resolution-based proof syst...
Jakob Nordström
JALC
2007
90views more  JALC 2007»
15 years 5 months ago
Learning Unary Automata
We determine the complexity of learning problems for unary regular languages. We begin by investigating the minimum consistent dfa (resp. nfa) problem which is known not to be app...
Gregor Gramlich, Ralf Herrmann