On local super antimagic face coloring of plane graphs

1st International Conference on Environmental Geography and Geography Education

生态环境科学;地球科学

Anggraeni^1^3 ; Dafik^1^3 ; Maryati, T.K.^2 ; Agustin, I.H.^1^4 ; Alfarisi, R.^1^5 ; Kurniawati, E.Y.^1^4

CGANT-University of Jember, Jember, Indonesia^1

Department of Mathematics Education, State Islamic University (UIN) Syarif Hidayatullah, Jakarta, Indonesia^2

Department of Mathematics Education, University of Jember, Jember, Indonesia^3

Department of Mathematics, University of Jember, Jember, Indonesia^4

Department of Elementary School Teacher Education, University of Jember, Jember, Indonesia^5

关键词: Antimagic;    Antiprisms;    Bijections;    Connected graph;    Plane graphs;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/243/1/012016/pdf
DOI  :  10.1088/1755-1315/243/1/012016

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

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 (Jn ), prism graph (Pn ), double fan graph (Dfn ), and antiprism graph (Apn ).