Article révisé par les pairs
Résumé : We give an O(g1 / 2n3 / 2+ g3 / 2n1 / 2) -size extended formulation for the spanning tree polytope of an n-vertex graph embedded in a surface of genus g, improving on the known O(n2+ gn) -size extended formulations following from Wong (Proceedings of 1980 IEEE International Conference on Circuits and Computers, pp 149–152, 1980) and Martin (Oper Res Lett 10:119–128, 1991).