2 papers
math.CO2026
Polytopes with large transversal ratio
Michael Gene Dobbins, Seunghun Lee
The transversal ratio of a polytope is the minimum proportion of vertices of required to intersect each facet of . The weak chromatic number of is the minimum number…
math.CO2025
Homotopy equivalence of Grassmannians and MacPhersonians in rank 3
Michael Gene Dobbins
We confirm a long standing conjecture in the case of rank 3 that MacPhersonians are homotopy equivalent to Grassmannians.