KADIKMA
Vol 6, No 1: April 2015

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

Hadi, Dian Anita (Unknown)
Dafik, D (Unknown)
Slamin, S (Unknown)



Article Info

Publish Date
17 Feb 2015

Abstract

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.

Copyrights © 2015






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 ...