We show that the homological dimension of a configuration space of a graph Γ is estimated from above by the number b of vertices in Γ whose valence is greater than 2. We show that this estimate is optimal for the n-point configuration space of Γ if n ≥ 2b.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm89-1-5,
author = {Jacek \'Swi\k atkowski},
title = {Estimates for homological dimension of configuration spaces of graphs},
journal = {Colloquium Mathematicae},
volume = {89},
year = {2001},
pages = {69-79},
zbl = {1007.55013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm89-1-5}
}
Jacek Świątkowski. Estimates for homological dimension of configuration spaces of graphs. Colloquium Mathematicae, Tome 89 (2001) pp. 69-79. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm89-1-5/