trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Extreme points of finite matroid intersection

The actual nonnegative rank-inequality intersection of two finite matroids has only zero-one extreme points.

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THEOREM

The rank-inequality intersection has zero-one extreme points

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Finite matroid intersectionFinite matroid intersectionInteger Signed Incidence Boundaries are Totally UnimodularInteger Signed IncidenceBoundaries are TotallyUnimodularInteger Inner Inverses from Unit MinorsInteger Inner Inverses fromUnit MinorsAttained Row-Image CertificatesAttained Row-Image CertificatesExtreme points of finite matroid intersectionExtreme points of finitematroid intersection
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Matroids/FiniteIntersectionPolytope
Repository path
D5/S3/Combinatorics/Matroids/FiniteIntersectionPolytope.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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