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In this article, we study the matroid base polytope for a matroid obtained from another matroid by a series or parallel extension of an element. We express this polytope as a wedge of a polytope. In particular, we provide the facial structure of the matroid base polytope corresponding to a series-parallel matroid.
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참고문헌 (6)
참고문헌 신청
Andreas Brandstadt / 1999 / Graph classes: a survey, SIAM Monographs on Discrete Mathematics and Applications
Eva Maria Feichtner / 2005 / Matroid polytopes, nested sets and Bergman fans / Port. Math. (N.S.) 62(4):437~468
I. M. Gel0fand / 1987 / Combi-natorial geometries, convex polyhedra, and Schubert cells / Adv. in Math. 63(3):301~316
James G. Oxley / 1992 / Matroid theory / The Clarendon Press Oxford University Press
David E. Speyer / 2008 / Tropical linear spaces / SIAM J. Discrete Math 22(4):1527~1558
Eva Maria Feichtner / 2005 / Matroid polytopes, nested sets and Bergman fans / Port. Math. (N.S.) 62(4):437~468
I. M. Gel0fand / 1987 / Combi-natorial geometries, convex polyhedra, and Schubert cells / Adv. in Math. 63(3):301~316
James G. Oxley / 1992 / Matroid theory / The Clarendon Press Oxford University Press
David E. Speyer / 2008 / Tropical linear spaces / SIAM J. Discrete Math 22(4):1527~1558
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