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CONSTRAINTS
2006
76views more  CONSTRAINTS 2006»
13 years 4 months ago
Symmetry Definitions for Constraint Satisfaction Problems
We review the many different definitions of symmetry for constraint satisfaction problems (CSPs) that have appeared in the literature, and show that a symmetry can be defined in tw...
David A. Cohen, Peter Jeavons, Christopher Jeffers...
ECAI
2010
Springer
13 years 6 months ago
Symmetries of Symmetry Breaking Constraints
Symmetry is an important feature of many constraint programs. We show that any symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different s...
George Katsirelos, Toby Walsh
AAAI
2006
13 years 6 months ago
Constraint Symmetry and Solution Symmetry
Symmetry in constraint satisfaction problems (CSPs) has been considered in two fundamentally different ways: as an operation preserving the solutions of a CSP instance, or as an o...
David A. Cohen, Peter Jeavons, Christopher Jeffers...
CORR
2010
Springer
106views Education» more  CORR 2010»
13 years 4 months ago
Symmetry within Solutions
We define the concept of an internal symmetry. This is a symmety within a solution of a constraint satisfaction problem. We compare this to solution symmetry, which is a mapping b...
Marijn Heule, Toby Walsh
CORR
2010
Springer
124views Education» more  CORR 2010»
13 years 4 months ago
Symmetry within and between solutions
Symmetry can be used to help solve many problems. For instance, Einstein's famous 1905 paper ("On the Electrodynamics of Moving Bodies") uses symmetry to help derive...
Toby Walsh