Aspherical Word Labeled Oriented Graphs and Cyclically Presented Groups

Jens Harlander, Stephan Rosebrock

A {\em word labeled oriented graph} (WLOG) is an oriented graph $\mathcal{G}$ on vertices $X=\{x_1,\dots ,x_k\}$, where each oriented edge is labeled by a word in $X^{\pm 1}$. WLOGs gi…