Weighted hypertree decompositions and optimal query plans
PODS '04 Proceedings of the twenty-third ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
On preservation under homomorphisms and unions of conjunctive queries
PODS '04 Proceedings of the twenty-third ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Recognizing frozen variables in constraint satisfaction problems
Theoretical Computer Science
The complexity of counting homomorphisms seen from the other side
Theoretical Computer Science
Query answering exploiting structural properties
ACM SIGMOD Record
SIGACT news complexity theory column 49
ACM SIGACT News
Constraint solving via fractional edge covers
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
On preservation under homomorphisms and unions of conjunctive queries
Journal of the ACM (JACM)
The complexity of homomorphism and constraint satisfaction problems seen from the other side
Journal of the ACM (JACM)
Weighted hypertree decompositions and optimal query plans
Journal of Computer and System Sciences
Maximum H-colourable subdigraphs and constraint optimization with arbitrary weights
Journal of Computer and System Sciences
A Logical Approach to Constraint Satisfaction
Complexity of Constraints
On balanced CSPs with high treewidth
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
On the possibility of faster SAT algorithms
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
The structure of tractable constraint satisfaction problems
MFCS'06 Proceedings of the 31st international conference on Mathematical Foundations of Computer Science
Exact algorithms for graph homomorphisms
FCT'05 Proceedings of the 15th international conference on Fundamentals of Computation Theory
CSL'05 Proceedings of the 19th international conference on Computer Science Logic
A dichotomy theorem for typed constraint satisfaction problems
SAT'06 Proceedings of the 9th international conference on Theory and Applications of Satisfiability Testing
ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
Hi-index | 0.00 |
We give a complexity theoretic classification of homomorphism problems for graphs and, more generally, relational structures obtained by restricting the left hand side structure in a homomorphism. For every class C of structures, let HOM(C,_) be the problem of deciding whether a given structure A \in C has a homomorphism to a given (arbitrary) structure B. We prove that, under some complexity theoretic assumption from parameterized complexity theory,HOM(C,_) is in polynomial time if, and only if, the cores of all structures in C have bounded tree-width (as long as the structures in C only contain relations of bounded arity).Due to a well known correspondence between homomorphism problems and constraint satisfaction problems, our classification carries over to the latter.