In [7], Enomoto \emph{et al.} identified the concept of super edge magic total labeling of graphs by getting motivation from the idea of edge-magic labeling of graphs that was brought into light by Kotzig and Rosa [20]. An edge magic total labeling of a graph $G$ is a one to one map $\phi$ from $V(G)\cup E(G)$ onto the set $ \{1, 2, \dots , |V(G)|+|E(G)|\}$ with the property that, there is an integer constant $\alpha$ such that $\phi(u)+\phi(uv)+\phi(v)=\alpha$ for any $(u,v)\in E(G).$ Moreover if $\phi(V(G))=\{1, 2, \dots , |V(G)|\}$, then edge magic total labeling is called super edge magic total labeling. In this paper, we study the super edge magic total labeling of generalized comb graph.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 30 Nisan 2023 |
Gönderilme Tarihi | 29 Nisan 2021 |
Kabul Tarihi | 24 Mart 2022 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 11 Sayı: 1 |