Prosiding Seminar Matematika dan Pendidikan Matematik
Vol 1, No 1 (2014): Prosiding Seminar Nasional Matematika 2014

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

Nurvitaningrum, Agnes Ika (Unknown)
Dafik, Dafik (Unknown)
Setiawani, Susi (Unknown)



Article Info

Publish Date
29 Dec 2014

Abstract

A graph $G$ is called an $(a,d)$-edge-antimagic total labeling if there exist a one-to-one mapping $f : f(V)={1,2,3,...,p} o f(E)={1,2,dots,p+q}$ 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 $dge 0$ 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 $din{0,1,2}$.

Copyrights © 2014






Journal Info

Abbrev

PSMP

Publisher

Subject

Education Mathematics

Description

Prosiding Semnas Matematika dan Pendidikan Mamatika adalah prosiding kumpulan artikel hasil seminar nasional matematika dan pendidikan matematika. Tema semnas berbeda setiap terbitan disesuaikan dengan tema yang dikembangkan oleh panitia semnas. Terbit satu kali dalam setahun secara serial antara ...