SUPER (a,d)-EDGE-ANTIMAGIC TOTAL LABELING OF SILKWORM GRAPH
| Main Authors: | Hadi, Dian Anita, Dafik, D, Slamin, S |
|---|---|
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
Department of Mathematics Education , University of Jember
, 2015
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| Online Access: |
https://jurnal.unej.ac.id/index.php/kadikma/article/view/1828 https://jurnal.unej.ac.id/index.php/kadikma/article/view/1828/1518 |
Daftar Isi:
- Abstract. An (a, d)-edge-antimagic total labeling of G is a one-to-one mapping taking the vertices and edges onto {1, 2, 3, . . . , p + q} Such that the edge-weights w(uv) = (u)+(v)+(uv), uv ∈ E(G) form an arithmetic sequence {a, a+d, a+2d, . . . , a+ (q − 1)d}, where first term a > 0 and common difference d ≥ 0. Such a graph G is called super if the smallest possible labels appear on the vertices. In this paper we will study a super edge-antimagic total labelings properties of connective Swn graph. The result shows that a connected Silkworm graph admit a super (a, d)-edge antimagic total labeling for d = 0, 1, 2. It can be concluded that the result of this research has covered all the feasible n, d. Key Words: (a, d)-edge-antimagic total labeling, super (a, d)-edge-antimagic total labeling, Silkworm graph.