Guantao Chen, Hikoe Enomoto, Kenta Ozeki, Shoichi Tsuchiya. Plane Triangulations Without a Spanning Halin Subgraph: Counterexamples to the Lovász-Plummer Conjecture on Halin Graphs. SIAM J. Discrete Math., 29(3):1423-1426, 2015. [doi]
Abstract is missing.