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Siska Binastuti
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Super (a; d) - Face Antimagic Total Labeling of Connective Shackle Graph (C5; e; n) Siska Binastuti; Dafik Dafik; Arif Fatahillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2425.018 KB) | DOI: 10.25037/cgantjma.v1i1.5

Abstract

Let G be a simple graph of order p, size q and face r. The graph G is called a super (a; d) - face antimagic total labeling , if there exist a bijection f : V (G) [ E(G) [ F (G) ! f1; 2; :::; p + q + rg such that the set of s-sided face weights, Ws = fas; as + d; as + 2d; :::; as + (rs ¡1)dg form an arithmetic sequence with ¯rst term a,common di®erence d, where a and d are positive integers s and rs is the number of s-sided faces. Such a graph is called super if the smallest possible labels appear on the vertices. The type of Face Antimagic Labeling is (1,1,1). In this paper, describe of Super (a; d) - Face Antimagic of Connective Shackle (C5; e; n) Graph. Keywords: Super (a; d)-face antimagic total labeling, face antimagic la-beling.
Co-Authors D. Dafik