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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1107,
author = {Jochen Harant},
title = {Some news about the independence number of a graph},
journal = {Discussiones Mathematicae Graph Theory},
volume = {20},
year = {2000},
pages = {71-79},
zbl = {0971.05058},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1107}
}
Jochen Harant. Some news about the independence number of a graph. Discussiones Mathematicae Graph Theory, Tome 20 (2000) pp. 71-79. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1107/
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