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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Eunike Setiawan
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, , Indonesia
Electrical & Electronics Engineering

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On b-edge consecutive edge magic total labeling on trees Eunike Setiawan; Kiki Ariyanti Sugeng; Denny Riama Silaban
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 10, No 2 (2022): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2022.10.2.15

Abstract

Let G = (V, E) be a simple, connected, and undirected graph, where V and E are the set of vertices and the set of edges of G. An edge magic total labeling on G is a bijection f : V ∪ E → {1, 2, …, |V|+|E|}, provided that for every uv ∈ E, w(uv)=f(u)+f(v)+f(uv)=K for a constant number K. Such a labeling is said to be a super edge magic total labeling if f(V)={1,2,…,|V|} and a b-edge consecutive edge magic total labeling if f(E)={b+1,b+2,…,b+|E|} with b ≥ 1. In this research, we give sufficient conditions for a graph G having a super edge magic total labeling to have a b-edge consecutive edge magic total labeling. We also give several classes of connected graphs which have both labelings.
Co-Authors Denny Riama Silaban Kiki Ariyanti Sugeng