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

Super (a,d)-edge-antimagic total labeling of connected Disc Brake graph

Arianti, Inge Yosanda (Unknown)
Dafik, Dafik (Unknown)
Slamin, Slamin (Unknown)



Article Info

Publish Date
29 Dec 2014

Abstract

Super edge-antimagic total labeling of a graph $G=(V,E)$ with order $p$ and size $q$, is a vertex labeling ${1,2,3,...p}$ and an edge labeling ${p+1,p+2,...p+q}$ such that the edge-weights, $w(uv)=f(u)+f(v)+f(uv), uv in E(G)$ form an arithmetic sequence and for $a>0$ and $dgeq 0$, where $f(u)$ is a label of vertex $u$, $f(v)$ is a label of vertex $v$ and $f(uv)$ is a label of edge $uv$. In this paper we discuss about super edge-antimagic total labelings properties of connective Disc Brake graph, denoted by $Db_{n,p}$. The result shows that a connected Disc Brake graph admit a super $(a,d)$-edge antimagic total labeling for $d={0,1,2}$, $ngeq 3$, n is odd and $pgeq 2$. It can be concluded that the result has covered all the feasible $d$.

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 ...