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Cycle super magic labeling of pumpkin, octagonal and hexagonal graphs

  • Hong Yang*
  • , Muhammad Aamer Rashid
  • , Sarfraz Ahmad
  • , Muhammad Kamran Siddiqui
  • , Muhammad Farhan Hanif
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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 languageEnglish
Pages (from-to)1165-1176
Number of pages12
JournalJournal of Discrete Mathematical Sciences and Cryptography
Volume22
Issue number7
DOIs
StatePublished - 3 Oct 2019
Externally publishedYes

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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