Defines TLFPT as O(n) + f(k) algorithms, proves it is strictly contained in Linear FPT via diagonalization, and exhibits several problems (SAT, Vertex Cover, k-Path, etc.) that belong to TLFPT under parameters such as treedepth and BFS-width.
5 Jianer Chen, Iyad A
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$O(n +f(k))$: Truly Linear FPT
Defines TLFPT as O(n) + f(k) algorithms, proves it is strictly contained in Linear FPT via diagonalization, and exhibits several problems (SAT, Vertex Cover, k-Path, etc.) that belong to TLFPT under parameters such as treedepth and BFS-width.