Motivated by a result of [17], we determine necessary and sufficient conditions on F\/ with ∣E(F)∣≤n−1\/ for which Kn−F\/ admits a g-angulation. For ∣E(F)∣≥n\/, we investigate the possibility of placing F\/ in Kn\/ such that Kn−F\/ admits a g-angulation for certain families of graphs F\/.
@article{arxiv.1906.05607,
title = {On Convex Graphs Having Plane Spanning Subgraph of Certain Type},
author = {Niran Abbas Ali and Gek L. Chiab and Hazim Michman Traoc and Adem Kilicman},
journal= {arXiv preprint arXiv:1906.05607},
year = {2019}
}