d-path-freeThis browser does not support PDFs. Please download the PDF to view it: Download PDF.This browser does not support PDFs. Please download the PDF to view it: Download PDF.2008 gradnesetril2008d-path-free $k$ upper bounds treedepth by $k^{\mathcal O(1)}$treedepth $k$ upper bounds d-path-free by $2^{\mathcal O(k)}$