On two conjectures concerning vertex magic total labelings of generalized Petersen graphs

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 dc.contributor.author Slamin dc.contributor.author Miller, M. dc.date.accessioned 2013-08-22T04:19:45Z dc.date.available 2013-08-22T04:19:45Z dc.date.issued 2001 dc.identifier.uri http://repository.unej.ac.id/handle/123456789/814 dc.description.abstract A vertex-magic total labeling of a graph with $v$ vertices and $e$ edges is defined as a one-to-one map taking the vertices and edges onto the integers $1,2,\dots ,v+e$ with the property that the sum of the label on a vertex and the labels on its incident edges is a constant, independent of the choice of vertex. en_US In this paper we give a vertex-magic total labeling for the prism $D_n$ for all $n \ge 3$; and a vertex-magic total labeling for the generalized Petersen graphs $P(n,m)$ for $n \ge 3$, $1 \le m \le \lfloor\frac{n-1}{2}\rfloor$, and $n$ and $m$ coprime. dc.language.iso en_US en_US dc.publisher Bulletins of ICA en_US dc.relation.ispartofseries Vol. 32 (2001) pp. 9-16; dc.subject vertex magic total labeling en_US dc.subject Generalised Petersen graph en_US dc.title On two conjectures concerning vertex magic total labelings of generalized Petersen graphs en_US dc.type Article en_US
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