We present asymptotically exact expressions for the expected sizes of relations defined by three well-studied Datalog recursions, namely the "transitive closure," "same generation," and "canonical factorable recursion." We consider the size of the fixpoints of the recursively defined relations in th
Bounded Arity Datalog(≠) Queries on Graphs
✍ Scribed by Foto N. Afrati
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 627 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0022-0000
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✦ Synopsis
We show that there are Datalog({) queries on graphs (i.e., the extensional database contains a single binary relation) that require recursively defined predicates of arbitrarily large width. More specifically, we prove that fixed subgraph homeomorphism queries require width of recursively defined predicates which is at least equal to the number of arcs in the pattern graph.
📜 SIMILAR VOLUMES
For a graph H , the H-coloring problem is to decide whether or not an instance graph G is homomorphic to H . The H-coloring problem is said to have bounded treewidth duality if there is an integer k such that for any graph G which is not homomorphic to H , there is a graph F of treewidth k which is