Super (a; d)-edge Antimagic Total Labeling of Shack(F6; B2; n) Graph for Developing a Polyalphabetic Cryptosystem

Arnasyitha Yulianti Soelistya (University of Jember)
Dafik Dafik (University of Jember)
Arif Fatahillah (University of Jember)

CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

A graph G of order p and size q is called an (a; d)-edge-antimagic total if there exist a bijection f : V (G) [ E(G) ! f1; 2; : : : ; p + qg such that the edge-weights, w(uv) = f(u) + f(v) + f(uv); uv 2 E(G), form an arithmetic sequence with ¯rst term a and common di®erence d. Such a graph is called super if the smallest possible labels appear on the vertices. In this paper we study a super edge-antimagic total labeling of Shackle (F6; B2; n) Graph connected and we will use it to develop a polyalphabetic cryptosystem.