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» An Algebraic Theory of Graph Reduction
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ICALP
2007
Springer
15 years 7 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
14 years 11 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
15 years 5 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
15 years 5 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
15 years 4 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