Combinatorial properties of boundary NLC graph languages
Discrete Applied Mathematics
Efficient solution to connectivity problems on hierarchically defined graphs
SIAM Journal on Computing
The monadic second-order logic of graphs. I. recognizable sets of finite graphs
Information and Computation
Decidable boundedness problems for sets of graphs generated by hyperedge-replacement
TAPSOFT '89 2nd international joint conference on Theory and practice of software development
Journal of Computer and System Sciences
Efficient decision procedures for graph properties on context-free graph languages
Journal of the ACM (JACM)
On the decidability of certain integer subgraph problems on context-free graph languages
Information and Computation
Hyperedge Replacement: Grammars and Languages
Hyperedge Replacement: Grammars and Languages
Proceedings of the International Workshop on Graph-Grammars and Their Application to Computer Science and Biology
Proceedings of the 3rd International Workshop on Graph-Grammars and Their Application to Computer Science
Relationships between nondeterministic and deterministic tape complexities
Journal of Computer and System Sciences
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In a very general frame, we analyze the complexity of connectivity problems on sets of graphs defined by context-free graph rewriting systems under various restrictions. In particular, we show the following results: If L is the set of all context-free graph rewriting systems that define at least one disconnected graph (connected graph, respectively), then L is DEXPTIME-complete. For linear systems or systems that define only finite sets of graphs, L is PSPACE-complete. For linear systems that define finite sets of graphs, L is NP-complete. For deterministic systems the complexity class of L depends on the used graph grammar model. L is P-complete for simple context-free graph rewriting systems as for example hyperedge replacement systems, but NP-complete (co-NP-complete, respectively), for boundary node label controlled graph grammars and more powerful systems.