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Discussiones Mathematicae Graph Theory 20(1) (2000) 71-79
DOI: https://doi.org/10.7151/dmgt.1107

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.

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Received 8 February 1999