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Journal : M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika

On Super (a,d)-C_3- Antimagic Total Labeling of Dutch Windmill Graph D_3^m Irene, Yanne; Mahmudi, Mahmudi; Nurmaleni, Nurmaleni
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 1 (2024): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i1.565

Abstract

This paper  is aimed to investigate the existence of super (a,d)-C_3- antimagic total labeling of dutch windmill graph D_3^m . The methods to achieves the goal was  taken in three step. First of all determine the edge and vertices notation on dutch windmill graph . At the second step, labeling the vertices and edges of several dutch windmill graphs, then obtained the pattern. Finally pattern must be proven to become theorem. Based on the study, The Dutch Windmill Graph D_3^m, with m>=2 has super  (14m+9,5)-C_3- antimagic total labeling, super (13m+8,3)-C_3-  antimagic total labeling, super (12m+9.,5)-C_3-  antimagic total labeling, super (11m+10.,7)-C_3-  antimagic total labeling, super (10m+8.,3)-C_3-  antimagic total labeling.