Estimates for homological dimension of configuration spaces of graphs
Volume 89 / 2001
Colloquium Mathematicum 89 (2001), 69-79
MSC: Primary 55M10; Secondary 20J05, 51F99.
DOI: 10.4064/cm89-1-5
Abstract
We show that the homological dimension of a configuration space of a graph ${\mit \Gamma }$ is estimated from above by the number $b$ of vertices in ${\mit \Gamma }$ whose valence is greater than $2$. We show that this estimate is optimal for the $n$-point configuration space of ${\mit \Gamma }$ if $n\ge 2b$.
