- Title
- On distance magic labeling of graphs
- Creator
- Sugeng, K. A.; Fronček, D.; Miller, M.; Ryan, J.; Walker, J.
- Relation
- Journal of Combinatorial Mathematics and Combinatorial Computing Vol. 71, p. 39-48
- Relation
- http://www.charlesbabbage.org
- Publisher
- Charles Babbage Research Centre
- Resource Type
- journal article
- Date
- 2009
- Description
- Distance magic labeling of a graph of order n is a bijection f : V → {1, 2, ... , n} with the property that there is a positive integer constant k such that for any vertex x, ΣyϵN(x)f(y) = k, where N(x) is the set of vertices adjacent to x. In this paper, we prove new results about the distance magicness of graphs that have minimum degree one or two. Moreover, we construct distance magic labeling for an infinite family of non-regular graphs.
- Subject
- magic labeling; vertex; non-regular graphs; distance
- Identifier
- uon:8133
- Identifier
- http://hdl.handle.net/1959.13/916856
- Identifier
- ISSN:0835-3026
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