Regular Matroids Have Polynomial Extension Complexity
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We prove that the extension complexity of the independence polytope of every regular matroid on [Formula: see text] elements is [Formula: see text]. Past results of Wong and Martin on extended formulations of the spanning tree polytope of a graph imply a [Formula: see text] bound for the special case of (co)graphic matroids. However, the case of a general regular matroid was open, despite recent attempts. We also consider the extension complexity of circuit dominants of regular matroids, for which we give a [Formula: see text] bound.
1968 ◽
Vol 64
(1)
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pp. 3-4
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2018 ◽
Vol 46
(3)
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pp. 352-355
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2017 ◽
Vol 57
(3)
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pp. 757-761
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1978 ◽
Vol 36
(1)
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pp. 492-493
2016 ◽
Vol 32
(3)
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pp. 204-214
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