Translating digraphs in Sage into quivers for QPA
Given a digraph in Sage as follows:
[(0, 4), (3, 2), (4, 5), (5, 1), (5, 3)]
Question: Is it possible using Sage to automatically obtain this digraph as a quiver readable for the GAP-package QPA?
The above example should have the following form readable for QPA:
Q:=Quiver(6,[[1,5,"x1"],[5,6,"x2"],[6,2,"x3"],[6,4,"x4"],[4,3,"x5"]]);
Here 6 is the number of vertices and the xi are the names of the arrows. For QPA one has to label the vertices starting with 1 (0 is not allowed). Thus I added +1 to every vertex in the Sage labeling.
I wonder whether there is an easy trick to translate the Sage ouput of digraphs directly to quivers readable for QPA.