On local super antimagic face coloring of plane graphs
Anggraeni, Dafik Dafik, Tita Khalis Maryati, Ika Hesti Agustin, Ridho Alfarisi, Elsa Yuli Kurniawati · IOP Conference Series Earth and Environmental Science · 2019
Let G ( V, E ) be a connected graph of order n and size m. A bijection g : V ( G ) ∪ E ( G ) → {1,2, ..., n + m } is called a local super antimagic face coloring such that for any two adjacent face A 1 and A 2 , w ( A 1 ) ≠ w ( A 2 ) where w ( A ) = ∑ v∈ V ( A ) f ( v ) + ∑ e∈ E ( A ) f ( e ). The local super antimagic face coloring chromatic number γlaf ( G ) defined the minimum number of colors taken over all colorings of G induced by local super antimagic face coloring of G . In this paper, we study local super antimagic face coloring of some plane graphs. The name of graphs are gear graph ( J n ), prism graph ( P n ), double fan graph ( Df n ), and antiprism graph ( Ap n ).