803 1 archive 28 disk0/00/00/08/03 2007-05-22 2008-09-18 11:09:06 2008-09-18 11:09:06 journalp show 0 Using a general resolution of barycentric systems we give a generalization of Tutte's theorem on convex drawing of planar graphs. We deduce a characterization of the edge coverings into pairwise non-crossing paths which are stretchable: such a system is stretchable if and only if each subsystem of at least two paths has at least 3 free vertices (vertices of the outer face of the induced subgraph which are internal to none of the paths of the subsystem). We also deduce that a contact system of pseudo-segments is stretchable if and only if it is extendible. de Fraysseix Hubert Ossona de Mendez Patrice Liotta Giuseppe Liotta. Giuseppe Meijer Henk Meijer, Henk pub 9 1079-1095 FALSE Discrete Applied Mathematics TRUE M.999 155 published 2007 none