Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Integer-magic spectra of sun graphs

Language

English

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. © 2007 Springer Science+Business Media, LLC.

Keywords

Group-magic, Integer-magic spectra, Sun graphs

Publication Date

2007

Source Publication Title

Journal of Combinatorial Optimization

Volume

14

Issue

2

Start Page

309

End Page

321

Publisher

Springer Verlag

DOI

10.1007/s10878-007-9052-x

Link to Publisher's Edition

http://dx.doi.org/10.1007/s10878-007-9052-x

ISSN (print)

13826905

ISSN (electronic)

15732886

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