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MST
2010
121views more  MST 2010»
13 years 8 months ago
Entropy of Operators or why Matrix Multiplication is Hard for Depth-Two Circuits
We consider unbounded fanin depth-2 circuits with arbitrary boolean functions as gates. We define the entropy of an operator f : {0, 1}n → {0, 1}m as the logarithm of the maximu...
Stasys Jukna
MST
2010
106views more  MST 2010»
13 years 8 months ago
Constrained-Path Labellings on Graphs of Bounded Clique-Width
Given a graph G we consider the problem of preprocessing it so that given two vertices x,y and a set X of vertices, we can efficiently report the shortest path (or just its length...
Bruno Courcelle, Andrew Twigg
MST
2010
83views more  MST 2010»
13 years 8 months ago
Does the Polynomial Hierarchy Collapse if Onto Functions are Invertible?
The class TFNP, defined by Megiddo and Papadimitriou, consists of multivalued functions with values that are polynomially verifiable and guaranteed to exist. Do we have evidence ...
Harry Buhrman, Lance Fortnow, Michal Koucký...
MST
2010
107views more  MST 2010»
13 years 8 months ago
Fixed-Parameter Algorithms for Cluster Vertex Deletion
We initiate the first systematic study of the NP-hard Cluster Vertex Deletion (CVD) problem (unweighted and weighted) in terms of fixed-parameter algorithmics. In the unweighted...
Falk Hüffner, Christian Komusiewicz, Hannes M...
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 9 months ago
Fast Self-Stabilizing Minimum Spanning Tree Construction
We present a novel self-stabilizing algorithm for minimum spanning tree (MST) construction. The space complexity of our solution is O(log2 n) bits and it converges in O(n2 ) round...
Lélia Blin, Shlomi Dolev, Maria Potop-Butuc...