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» Polynomial Interpretations and the Complexity of Algorithms
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JSC
2007
84views more  JSC 2007»
14 years 11 months ago
Simplicial cycles and the computation of simplicial trees
We generalize the concept of a cycle from graphs to simplicial complexes. We show that a simplicial cycle is either a sequence of facets connected in the shape of a circle, or is ...
Massimo Caboara, Sara Faridi, Peter Selinger
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
15 years 3 months ago
On the Complexity of Boolean Functions in Different Characteristics
Every Boolean function on n variables can be expressed as a unique multivariate polynomial modulo p for every prime p. In this work, we study how the degree of a function in one c...
Parikshit Gopalan, Shachar Lovett, Amir Shpilka
LATIN
2010
Springer
15 years 3 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
CP
2008
Springer
15 years 1 months ago
A Soft Constraint of Equality: Complexity and Approximability
We introduce the SoftAllEqual global constraint, which maximizes the number of equalities holding between pairs of assignments to a set of variables. We study the computational com...
Emmanuel Hebrard, Barry O'Sullivan, Igor Razgon
PLANX
2008
15 years 1 months ago
Complexity of Earliest Query Answering with Streaming Tree Automata
We investigate the complexity of earliest query answering for n-ary node selection queries defined by streaming tree automata (STAs). We elaborate an algorithm that selects query ...
Olivier Gauwin, Anne-Cécile Caron, Joachim ...