3 papers
math.CO2026
Ordinary lines, point degrees, and matroid density
Matthew E. Kroeker, Ben Lund
For every set of points in with full affine span, we prove that some point lies on at least spanned lines, which is best possible in every dimensi…
math.CO2025
Metric graphs of negative type
Rutger Campbell, Kevin Hendrey, Ben Lund +1
The negative type inequalities of a metric space are closely tied to embeddability. A result by Gupta, Newman, and Rabinovich implies that if a metric graph does not contain a…
math.CO2024
Characterizing real-representable matroids with large average hyperplane-size
Rutger Campbell, Matthew E. Kroeker, Ben Lund
Generalizing a theorem of the first two authors and Geelen for planes, we show that, for a real-representable matroid , either the average hyperplane-size in is at most a co…