On Super (a,d)-C_3- Antimagic Total Labeling of Dutch Windmill Graph D_3^m

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... Mehr ...

Verfasser: Irene, Yanne
Mahmudi, Mahmudi
Nurmaleni, Nurmaleni
Dokumenttyp: Artikel
Erscheinungsdatum: 2024
Verlag/Hrsg.: Universitas Wiralodra
Schlagwörter: Dutch Windmill Graph / Circle Graph / Isomorphic Graph / (a / d)-H- Antimagic Total Labeling(a
Sprache: Englisch
Permalink: https://search.fid-benelux.de/Record/base-28994709
Datenquelle: BASE; Originalkatalog
Powered By: BASE
Link(s) : https://mathline.unwir.ac.id/index.php/Mathline/article/view/565

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.