Integer-magic spectra of sun graphs

Wai Chee SHIU*, Richard M. Low

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

Let A be a non-trivial Abelian group. A graph G=(V,E) is A-magic if there exists a labeling f:E→A \ {0} such that the induced vertex set labeling f +:V→A, defined by f +(v)=∑f(uv) where the sum is over all uv E, is a constant map. The integer-magic spectrum of a graph G is the set IM(G)={k ∈ ℕ | G is ℤ k -magic}. A sun graph is obtained from an n-cycle, by attaching paths to each pair of adjacent vertices in the cycle. In this paper, we investigate the integer-magic spectra of some sun graphs.

Original languageEnglish
Pages (from-to)309-321
Number of pages13
JournalJournal of Combinatorial Optimization
Volume14
Issue number2-3
DOIs
Publication statusPublished - Oct 2007

Scopus Subject Areas

  • Computer Science Applications
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Theory and Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Group-magic
  • Integer-magic spectra
  • Sun graphs

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