# On Super Edge-magic Total Labeling of Modified Watermill Graph
> Nurdin

URL kanonis: https://discover.unhas.ac.id/publications/on-super-edge-magic-total-labeling-of-modified-watermill-graph
Jurnal / Konferensi: Journal of Physics Conference Series
Tahun terbit: 2018
DOI: https://doi.org/10.1088/1742-6596/979/1/012067
ISSN: 17426588
Citations: 2

## Authors
- Nurdin

## Abstract
An edge-magic total labeling on a graph G is one-to-one map from V(G) ∪ E(G) onto the set of integers 1,2, ...,ν + e, where ν = |V(G)| and e = |E(G)|, with the property that, given any edge uv, f(u) + f(u, ν}) + f(ν) = k for every u,v ∈ V(G), and k is called magic valuation. An edge-magic total labeling f is called super edge-magic total if f(v(G)) = {1,2 ...,|V(G)|} and f(E(G)) = {|V(G)| + 1, |V(G)| + 2,... |V(G) + E(G)|}. In this paper we investigate edge-magic total labeling of a new graph called modified Watermill graph. Furthermore, the magic valuation of the modified Watermill graph WM(n) is , for n odd, n ≥ 3.

## Keywords
- Combinatorics
- MAGIC (telescope)
- Graph
- Mathematics
- Discrete mathematics
- Physics
- Astrophysics

---
Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
Saat mengutip, gunakan DOI bila tersedia atau URL kanonis di atas.