# DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

# IMPACT FACTOR 2018: 0.741

SCImago Journal Rank (SJR) 2018: 0.763

Rejection Rate (2018-2019): c. 84%

# Discussiones Mathematicae Graph Theory

## SOME NEWS ABOUT THE INDEPENDENCE NUMBER OF A GRAPH

Jochen Harant

Department of Mathematics, Technical University of Ilmenau
D-98684 Ilmenau, Germany

## Abstract

For a finite undirected graph G on n vertices some continuous optimization problems taken over the n-dimensional cube are presented and it is proved that their optimum values equal the independence number of G.

Keywords: graph, independence.

1991 Mathematical Subject Classification: 05C35.

## References

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