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math.CO2012
On ideal minimally non-packing clutters
Kenji Kashiwabara, Tadashi Sakuma
We consider the following conjecture proposed by Cornuéjols, Guenin and Margot: every ideal minimally non-packing clutter has a transversal of size 2. For a clutter C, the tilde cl…
math.CO2012
The Weak-Map Order and Polytopal Decompositions of Matroid Base Polytopes
Kenji Kashiwabara
The weak-map order on the matroid base polytopes is the partial order defined by inclusion. Lucas proved that the base polytope of no binary matroid includes the base polytope of a…