# DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

# IMPACT FACTOR 2018: 0.741

SCImago Journal Rank (SJR) 2018: 0.763

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# Discussiones Mathematicae Graph Theory

## 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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