A sufficient local degree condition for Hamiltonicity in locally finite claw-free graphs
arXiv:1903.11663 · doi:10.1016/j.ejc.2016.01.003
Abstract
Among the well-known sufficient degree conditions for the Hamiltonicity of a finite graph, the condition of Asratian and Khachatrian is the weakest and thus gives the strongest result. Diestel conjectured that it should extend to locally finite infinite graphs~, in that the same condition implies that the Freudenthal compactification of contains a circle through all its vertices and ends. We prove Diestel's conjecture for claw-free graphs.
20 pages, 8 figures