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LATIN
2010
Springer
13 years 11 months ago
Computational Complexity of the Hamiltonian Cycle Problem in Dense Hypergraphs
Abstract. We study the computational complexity of deciding the existence of a Hamiltonian Cycle in some dense classes of k-uniform hypergraphs. Those problems turned out to be, al...
Marek Karpinski, Andrzej Rucinski, Edyta Szymanska
LATIN
2010
Springer
14 years 2 months ago
The Size and Depth of Layered Boolean Circuits
We consider the relationship between size and depth for layered Boolean circuits, synchronous circuits and planar circuits as well as classes of circuits with small separators. In ...
Anna Gál, Jing-Tang Jang
LATIN
2010
Springer
14 years 2 months ago
The I/O Complexity of Sparse Matrix Dense Matrix Multiplication
We consider the multiplication of a sparse N × N matrix A with a dense N × N matrix B in the I/O model. We determine the worst-case non-uniform complexity of this task up to a c...
Gero Greiner, Riko Jacob
LATIN
2010
Springer
14 years 2 months ago
Modelling the LLL Algorithm by Sandpiles
Abstract The LLL algorithm aims at finding a “reduced” basis of a Euclidean lattice. The LLL algorithm plays a primary role in many areas of mathematics and computer science. ...
Manfred Madritsch, Brigitte Vallée
LATIN
2010
Springer
14 years 2 months ago
Compact Rich-Functional Binary Relation Representations
Binary relations are an important abstraction arising in a number of data representation problems. Each existing data structure specializes in the few basic operations required by ...
Jérémy Barbay, Francisco Claude, Gon...