Djoni Budi Sumarno, Djoni Budi
Jurusan Matematika, Fakultas MIPA, Universitas Jember Jln. Kalimantan 37, Jember 68121

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Super (a, d)-Edge Antimagic Total Labeling of Connected Ferris Wheel Graph Sumarno, Djoni Budi; Dafik, D; Santoso, Kiswara Agung
Jurnal ILMU DASAR Vol 15 No 2 (2014)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (127.85 KB) | DOI: 10.19184/jid.v15i2.1051

Abstract

Let G be a simple graph of order p and size q. Graph G is called an (a,d)-edge-antimagic totalifthereexistabijectionf :V(G)∪E(G)→{1,2,...,p+q}suchthattheedge-weights,w(uv)= f(u)+f(v)+f(uv); u, v ∈ V (G), uv ∈ E(G), form an arithmetic sequence with first term a and common difference d. Such a graph G is called super if the smallest possible labels appear on the vertices. In this paper we study super (a, d)-edge antimagic total properties of connected of Ferris Wheel F Wm,n by using deductive axiomatic method. The results of this research are a lemma or theorem. The new theorems show that a connected ferris wheel graphs 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 feasible d. Key Words : (a, d)-edge antimagic vertex labeling, super (a, d)-edge antimagic total labeling, Ferris Wheel graph FWm,n.