Geodesic
On Face Irregular Evaluations of Plane Graphs
Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 2, pp. 549-568

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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.
Keywords: plane graphs, irregular assignment, irregularity strength, face irregular labeling, face irregularity strength 
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     title = {On {Face} {Irregular} {Evaluations} of {Plane} {Graphs}},
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Bača, Martin; Ovais, Ali; Semaničová-Feňovčíková, Andrea; Suparta, I. Nengah. On Face Irregular Evaluations of Plane Graphs. Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 2, pp. 549-568. http://geodesic.mathdoc.fr/item/DMGT_2022_42_2_a12/