Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present conditions under which graph transformation rules can be applied in time independent of the size of the input graph: graphs must contain a unique root label, nodes in the left-hand sides of j rules must be reachable from the root, and nodes must have a bounded outdegree.  establish a constant upper bound for the time needed to construct all graphs resulting from an application of a fixed rule to an input graph.  also give an improved upper bound under the stronger condition that all edges outgoing from a node must have distinct labels. Then this result is applied to identify a class of graph reduction systems that define graph languages with a linear membership test. In a case study  prove that the (non-context-free) language of balanced binary trees with backpointers belongs to this class.
['Mike Dodds', 'Detlef Plump']
I am writing a research paper on a idea Graph Transformation in Constant Time
[{"from": "human", "value": "I am writing a research paper on a idea Graph Transformation in Constant Time"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present conditions under which graph transformation rules can be applied in time independent of the size of the input graph: graphs must contain a unique root label, nodes in the left-hand sides of j rules must be reachable from the root, and nodes must have a bounded outdegree.  establish a constant upper bound for the time needed to construct all graphs resulting from an application of a fixed rule to an input graph.  also give an improved upper bound under the stronger condition that all edges outgoing from a node must have distinct labels. Then this result is applied to identify a class of graph reduction systems that define graph languages with a linear membership test. In a case study  prove that the (non-context-free) language of balanced binary trees with backpointers belongs to this class."}]