Discussiones Mathematicae Graph Theory 28(3) (2008) 431-439
doi: 10.7151/dmgt.1417

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PRODUCT ROSY LABELING OF GRAPHS

Dalibor Froncek

Department of Mathematics and Statistics
University of Minnesota Duluth
1117 University Dr., Duluth, MN 55812, USA
e-mail: dalibor.umn.edu

Abstract

In this paper we describe a natural extension of the well-known ρ-labeling of graphs (also known as rosy labeling). The labeling, called product rosy labeling, labels vertices with elements of products of additive groups. We illustrate the usefulness of this labeling by presenting a recursive construction of infinite families of trees decomposing complete graphs.

Keywords: graph decomposition, graph labeling.

2000 Mathematics Subject Classification: 05C78.

References

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Received 18 April 2007
Revised 27 March 2008
Accepted 9 May 2008