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» On the Size of Monotone Span Programs
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ATAL
2010
Springer
13 years 8 months ago
Monotone cooperative games and their threshold versions
Cooperative games provide an appropriate framework for fair and stable resource allocation in multiagent systems. This paper focusses on monotone cooperative games, a class which ...
Haris Aziz, Felix Brandt, Paul Harrenstein
STOC
2004
ACM
122views Algorithms» more  STOC 2004»
14 years 8 months ago
Estimating the weight of metric minimum spanning trees in sublinear-time
In this paper we present a sublinear time (1+ )-approximation randomized algorithm to estimate the weight of the minimum spanning tree of an n-point metric space. The running time...
Artur Czumaj, Christian Sohler
ICALP
2001
Springer
14 years 2 days ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
FCT
2005
Springer
14 years 1 months ago
On the Incompressibility of Monotone DNFs
We prove optimal lower bounds for multilinear circuits and for monotone circuits with bounded depth. These lower bounds state that, in order to compute certain functions, these cir...
Matthias P. Krieger
ICALP
2001
Springer
14 years 2 days 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