Hamiltonicity Parameterized by Mim-Width is (Indeed) Para-NP-Hard
arXiv:2507.00612
Abstract
We prove that Hamiltonian Path and Hamiltonian Cycle are NP-hard on graphs of linear mim-width 26, even when a linear order of the input graph with mim-width 26 is provided together with input. This fills a gap left by a broken proof of the para-NP-hardness of Hamiltonicity problems parameterized by mim-width.
13 pages, 6 figures