KADIKMA
Vol 6, No 1: April 2015

SUPER (a,d)-EDGE ANTIMAGIC TOTAL LABELING OF PENTAGONAL CHAIN GRAPH

Albirri, Ermita Rizki (Unknown)
Dafik, D (Unknown)
Slamin, S (Unknown)



Article Info

Publish Date
17 Feb 2015

Abstract

Abstract. A G graph of order p and size q is called an (a,d)-edge antimagic total if there exist a bijection f: V(G)E(G) {1,2,…,p+q} such that the edge-weights, w(uv)=f(u)+f(v)+f(uv), 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 PCn by using deductive axiomatic and the pattern recognition method. The result shows that a connected pentagonal chain graphs admit a super (a,d)-edge antimagic total  labeling for d = 0,1,2 for n It can be concluded that the result of this research has covered all the feasible d. Key Words: (a,d)-edge antimagic vertex labeling, super (a,d)-edge antimagic total labeling, Pentagonal Chain Graph.

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Journal Info

Abbrev

kadikma

Publisher

Subject

Mathematics

Description

KadikmA (p-ISSN: 2085-0662 dan e-ISSN: 2686-3243) adalah jurnal nasional bidang Matematika dan Pendidikan Matematika yang diterbitkan oleh Program Studi Pendidikan Matematika, FKIP, Universitas Jember. Kadikma terbit 3 kali dalam setahun pada bulan April, Agustus dan Desember. Jurnal Matematika dan ...