Integer-magic spectra of sun graphs
Wai Chee Shiu () and
Richard M. Low ()
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Wai Chee Shiu: Hong Kong Baptist University
Richard M. Low: San José State University
Journal of Combinatorial Optimization, 2007, vol. 14, issue 2, No 19, 309-321
Abstract:
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.
Keywords: Integer-magic spectra; Group-magic; Sun graphs (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10878-007-9052-x
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