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Twisted hypercube-like networks (THLNs) are an important class ofinterconnection networks for parallel computing systems, which include mostpopular variants of the hypercubes, such as crossed cubes, M\"obius cubes,twisted cubes and locally twisted cubes. This paper deals with thefault-tolerant hamiltonian connectivity of THLNs under the large fault model.Let $G$ be an $n$-dimensional THLN and $F \subseteq V(G)\bigcup E(G)$, where $n\geq 7$ and $|F| \leq 2n - 10$. We prove that for any two nodes $u,v \in V(G -F)$ satisfying a simple necessary condition on neighbors of $u$ and $v$, thereexists a hamiltonian or near-hamiltonian path between $u$ and $v$ in $G-F$. Theresult extends further the fault-tolerant graph embedding capability of THLNs.

Hamiltonian Connectivity of Twisted Hypercube-Like Networks under the Large Fault Model