# Configuration spaces of graphs

Takeshi Unohara – GJM, Volume 1, Issue 1 (2016), 28–42.

Given a graph $\Gamma$ with a single essential vertex, we determine the fundamental group $\pi_1C_n(\Gamma)$ of the configuration space $C_n(\Gamma)$ of $\Gamma$. This result is a generalization of Theorem 4.6 in [5]. We also discuss connectivity of configuration spaces of graphs. We use the CW complex model introduced in [15,16] to study the configuration spaces of graphs