Pelabelan Total Super (a,d)-Sisi Antimagic Pada Graf Buah Naga
| Main Authors: | Nurvitaningrum, Agnes Ika, Dafik, Dafik, Setiawani, Susi |
|---|---|
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
Prosiding Seminar Matematika dan Pendidikan Matematik
, 2014
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| Online Access: |
https://jurnal.unej.ac.id/index.php/psmp/article/view/905 https://jurnal.unej.ac.id/index.php/psmp/article/view/905/710 |
Daftar Isi:
- 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 $d\in{0,1,2}$.