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Discussiones Mathematicae Graph Theory 32(2) (2012)
243-253
DOI: https://doi.org/10.7151/dmgt.1608
A Characterization of Complete Tripartite Degree-magic Graphs
| L'udmila Bezegová and Jaroslav Ivančo
Institute of Mathematics, |
Abstract
A graph is called degree-magic if it admits a labelling of the edges by integers 1, 2, ... , |E(G)| such that the sum of the labels of the edges incident with any vertex v is equal to deg(v)(1+ |E(G)|)/2. Degree-magic graphs extend supermagic regular graphs. In this paper we characterize complete tripartite degree-magic graphs.
Keywords: supermagic graphs, degree-magic graphs, complete tripartite graphs
2010 Mathematics Subject Classification: 05C78.
References
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Received 14 December 2010
Revised 7 April 2011
Accepted 28 April 2011
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