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Table 1 Parameterized tractability of CSWO

From: Closest string with outliers

Parameter(s) |Σ| is a parameter |Σ| is unbounded
ℓ, d, n* FPT (trivial) W[1]-hard (*)
FPT (trivial) W[1]-hard (*)
d, n* Open W[1]-hard (*)
d, k FPT (*) FPT (*)
n*, k FPT Open
k W[1]-hard (trivial) W[1]-hard (trivial)
  1. An overview of the fixed parameter tractability and intractability of the CSWO. Asterisk denotes the new results found in this paper.