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

  • Inge Yosanda Arianti
  • Dafik Dafik
  • Slamin Slamin

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 $d\geq 0$, 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 $d={0,1,2}$, $n\geq 3$, n is odd and $p\geq 2$. It can be concluded that the result has covered all the feasible $d$.
Published
2014-10-19
How to Cite
ARIANTI, Inge Yosanda; DAFIK, Dafik; SLAMIN, Slamin. Super (a,d)-edge-antimagic total labeling of connected Disc Brake graph. Prosiding Seminar Matematika dan Pendidikan Matematik, [S.l.], v. 1, n. 1, oct. 2014. Available at: <https://jurnal.unej.ac.id/index.php/psmp/article/view/898>. Date accessed: 02 june 2020.
Section
Prosiding Seminar Nasional Matematika 2014