Pelabelan Total Super (a,d)-Sisi Antimagic Pada Graf Buah Naga

  • Agnes Ika Nurvitaningrum
  • Dafik Dafik
  • Susi Setiawani

Abstract

A graph $G$ is called an $(a,d)$-edge-antimagic total labeling if there exist a one-to-one mapping $f : f(V)=\{1,2,3,...,p\} \to f(E)=\{1,2,\dots,p+q\}$ such that the edge-weights, $w(uv)=f(u)+f(v)+f(uv), uv \in E(G)$, form an arithmetic progression $\{a,a+d,a+2d,\dots,a+(q-1)d\}$, where $a>0$ and $d\ge 0$ are two fixed integers, form an arithmetic sequence with first term $a$ and common difference $d$. Such a graph $G$ is called {\it super} if the smallest possible labels appear on the vertices. In this paper we recite super $(a,d)$-edge-antimagic total labelling of connected  Dragon Fruit Graph. The result shows that Dragon Fruit Graph have a super edge antimagic total  labeling for $d\in{0,1,2}$.
Published
2014-11-19
How to Cite
NURVITANINGRUM, Agnes Ika; DAFIK, Dafik; SETIAWANI, Susi. Pelabelan Total Super (a,d)-Sisi Antimagic Pada Graf Buah Naga. Prosiding Seminar Matematika dan Pendidikan Matematik, [S.l.], v. 1, n. 1, nov. 2014. Available at: <https://jurnal.unej.ac.id/index.php/psmp/article/view/905>. Date accessed: 05 june 2020.
Section
Prosiding Seminar Nasional Matematika 2014