This report documents the program and the outcomes of Dagstuhl Seminar 11191 “Graph Drawing with Algorithm Engineering Methods”. We summarize the talks, open problems, and working group discussions. Seminar 8.–13. May, 2011 – www.dagstuhl.de/11191 1998 ACM Subject Classification E.1 Data structures, F.2 Analysis of algorithms and problem complexity, G.1.6 Optimization, G.2.1 Combinatorics, G.2....