On face irregular evaluations of plane graphs
Martin Bača, Ali Ovais, Andrea Semaničová–Feňovčíková, I Nengah Suparta · Discussiones Mathematicae Graph Theory · 2020
We investigate face irregular labelings of plane graphs and we introduce new graph characteristics, namely face irregularity strength of type (α,β,γ). We obtain some estimation on these parameters and determine the precise values for certain families of plane graphs that prove the sharpness of the lower bounds.