Dirac subgraphs of powers of cycles are Hamiltonian
Abstract
We show that, for every >0 and all sufficiently large k, any spanning subgraph of the kth power of a cycle with minimum degree at least (1+)k contains a Hamilton cycle. This asymptotically settles a conjecture of Espuny Díaz, Lichev, and Wesolek.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.