In addition to treewidth and vertex cover, there are several other structural parameters for which the authors' technique can be applied to derive double-exponential lower bounds. Some potential structural parameters include pathwidth, branchwidth, tree-depth, and cliquewidth. These parameters are commonly used in parameterized complexity theory to analyze the computational complexity of problems on graphs.
The technique's effectiveness in proving double-exponential lower bounds for Metric Dimension, Strong Metric Dimension, and Geodetic Set parameterized by treewidth and vertex cover demonstrates its adaptability to different structural parameters. By appropriately modifying the construction and encoding of relationships between vertices based on the specific parameter, it is feasible to extend the technique to derive double-exponential lower bounds for problems parameterized by these alternative structural parameters.