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arXiv · 1604.07976

Smaller Extended Formulations for the Spanning Tree Polytope of Bounded-genus Graphs

Samuel Fiorini·Tony Huynh·Gwenaël Joret·Kanstantsin Pashkovich
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Abstract

We give an $O(g^{1/2} n^{3/2} + g^{3/2} n^{1/2})$-size extended formulation for the spanning tree polytope of an $n$-vertex graph embedded on a surface of genus $g$, improving on the known $O(n^2 + g n)$-size extended formulations following from Wong and Martin.

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Samuel Fiorini, Tony Huynh, Gwenaël Joret, Kanstantsin Pashkovich. 2017-01-09. Smaller Extended Formulations for the Spanning Tree Polytope of Bounded-genus Graphs. https://doi.org/10.1007/s00454-016-9852-9

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