Minggu, 29 Juni 2014 - 22:49:49 WIB
Super Antimagicness of A Well-defined Graph
Dafik, Alfin Fajriatin, Kunti Miladiyah F, Saintifika (Jurnal Ilmu Pendidikan MIPA dan MIPA), 14 No. 1, (2012) 106 - 118
Jurnal Ber-ISSN

Abstract

Abstract: A graph G of order p and size q is called an (a, d)-edge-antimagic totalif there exists a bijection f : V (G) U E(G) ---> {1, 2, ...,  p + q} such that the edge-weights, W(uv) = f(u)+f(v)+f(uv); uv in 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 and disconnected of a well-defined mountain graph and also show a new concept of a permutation of an arithmetic sequence.

Key Words: SEATL, Permutation, Arithmetic Sequence, Mountain Graph.


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