Geometric thickness admits fixed-parameter algorithms for vertex cover and feedback edge number, while the extension problem is FPT for missing edges but W[1]-hard or NP-hard once vertices are also missing.
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Pathways to Tractability for Geometric Thickness
Geometric thickness admits fixed-parameter algorithms for vertex cover and feedback edge number, while the extension problem is FPT for missing edges but W[1]-hard or NP-hard once vertices are also missing.