Sciweavers

Free Online Productivity Tools i2Speak i2Symbol i2OCR iTex2Img iWeb2Print iWeb2Shot i2Type iPdf2Split iPdf2Merge i2Bopomofo i2Arabic i2Style i2Image i2PDF iLatex2Rtf Sci2ools

9

DCG
2010

favoriteEmaildiscussreport

84views more DCG 2010»

Matroid Polytopes and their Volumes

13 years 4 months ago

Matroid Polytopes and their Volumes

Download math.sfsu.edu

We express the matroid polytope PM of a matroid M as a signed Minkowski sum of simplices, and obtain a formula for the volume of PM . This gives a combinatorial expression for the degree of an arbitrary torus orbit closure in the Grassmannian Grk,n. We then derive analogous results for the independent set polytope and the associated flag matroid polytope of M. Our proofs are based on a natural extension of Postnikov's theory of generalized permutohedra.

Federico Ardila, Carolina Benedetti, Jeffrey Doker

Real-time Traffic

DCG 2010 | Independent Set Polytope | Matroid Polytope Pm | Polytope |

claim paper

Related Content

» Alcoved Polytopes I

» Cyclic Polytopes and Oriented Matroids

» Mutation Polynomials and Oriented Matroids

» A sweepplane algorithm for generating random tuples in simple polytopes

» On the cardinality constrained matroid polytope

» Flag enumerations of matroid base polytopes

» Notes on lattice points of zonotopes and latticeface polytopes

» An Inscribing Model for Random Polytopes

» Base polytopes of seriesparallel posets Linear description and optimization

Post Info
More Details (n/a)

Added	10 Dec 2010
Updated	10 Dec 2010
Type	Journal
Year	2010
Where	DCG
Authors	Federico Ardila, Carolina Benedetti, Jeffrey Doker

Comments (0)