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» An Algebraic Theory of Graph Reduction
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ICALP
2007
Springer
14 years 1 months ago
Universal Algebra and Hardness Results for Constraint Satisfaction Problems
We present algebraic conditions on constraint languages Γ that ensure the hardness of the constraint satisfaction problem CSP(Γ) for complexity classes L, NL, P, NP and ModpL. Th...
Benoit Larose, Pascal Tesson
TGC
2010
Springer
13 years 5 months ago
An Algebra of Hierarchical Graphs
We define an algebraic theory of hierarchical graphs, whose axioms characterise graph isomorphism: two terms are equated exactly when they represent the same graph. Our algebra can...
Roberto Bruni, Fabio Gadducci, Alberto Lluch-Lafue...
AB
2007
Springer
13 years 11 months ago
Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie Symmetries
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equations. ...
Alexandre Sedoglavic
EUROMICRO
1996
IEEE
13 years 11 months ago
A Graph Rewriting Approach for Transformational Design of Digital Systems
Transformational design integrates design and verification. It combines "correctness by construciion" and design creativity by the use ofpre-proven behaviour preserving ...
Corrie Huijs
STACS
1995
Springer
13 years 11 months ago
The Number of Views of Piecewise-Smooth Algebraic Objects
Abstract. A solid object in 3-dimensional space may be described by a collection of all its topologically distinct 2-dimensional appearances, its aspect graph. In this paper, we st...
Sylvain Petitjean