Espuny Díaz, Lichev, and Wesolek's local-resilience conjecture for cyclic Cayley graphs

Let $n$ and $k$ be positive integers. Consider the Cayley graph on $4\mathds{Z}/n\mathds{Z}4$ with generating set $\{-k,\ldots,k\}\setminus\{0\}$. Espuny Díaz, Lichev, and Wesolek's conjecture. Any subgraph of this Cayley graph with minimum degree $k+1$ has a Hamilton cycle. This conjecture proposes optimal local resilience for Hamiltonicity in powers of cycles, extending Dirac-type results to a sparse, locally dense Cayley graph; its resolution is not specified in the source.