Title
On binary constraint problems
Abstract
The concepts of binary constraint satisfaction problems can be naturally generalized to the relation algebras of Tarski. The concept of path-consistency plays a central role. Algorithms for path-consistency can be implemented on matrices of relations and on matrices of elements from a relation algebra. We give an example of a 4-by-4 matrix of infinite relations on which on iterative local path-consistency algorithm terminates. We give a class of examples over a fixed finite algebra on which all iterative local algorithms, whether parallel or sequential, must take quadratic time. Specific relation algebras arising from interval constraint problems are also studied: the Interval Algebra, the Point Algebra, and the Containment Algebra.
Year
DOI
Venue
1994
10.1145/176584.176585
J. ACM
Keywords
Field
DocType
iterative local path-consistency algorithm,binary constraint satisfaction problem,Point Algebra,infinite relation,path consistency,constraint matrices,Interval Algebra,specific relation,relation algebras,binary constraint problem,fixed finite algebra,Containment Algebra,constraint satisfaction problems,relations,relation algebra,interval constraint problem
Discrete mathematics,Algebra,Computer science,Constraint satisfaction problem,Binary constraint
Journal
Volume
Issue
ISSN
41
3
0004-5411
Citations 
PageRank 
References 
117
8.10
26
Authors
2
Search Limit
100117
Name
Order
Citations
PageRank
Peter B. Ladkin162690.51
Roger D. Maddux231033.14