Abstract
A simple graph G(V, E) admits a H-covering, if every edge in E(G) belongs to a subgraph of G isomorphic to H. The graph G is said to be H-magic, if there exists a bijection ψ: V(G) ∪ E(G) → {1, 2, 3, …,|V(G)|+|E(G)|} such that for every subgraph H¢ of G isomorphic to (Figure presented.) is constant. Moreover G is said to be H-super magic, if ψ (V(G)) = {1, 2, 3, …,|V(G)|}. In this paper, we study the cycle-super magic labeling of a pumpkin graph and two classes of planar maps containing 8-sided and 4-sided faces or 6-sided and 4-sided faces, respectively.
| Original language | English |
|---|---|
| Pages (from-to) | 1165-1176 |
| Number of pages | 12 |
| Journal | Journal of Discrete Mathematical Sciences and Cryptography |
| Volume | 22 |
| Issue number | 7 |
| DOIs | |
| State | Published - 3 Oct 2019 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019, © 2019 Taru Publications.
Keywords
- (2000) 05C78
- Cycle-super magic labeling
- Edge-covering
- Total labeling
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics
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