Graphs & Matroids Seminar - Ahmad Abdi

Title: The two-point Fano

Abstract:

Let F be a minimally non-ideal binary clutter, different from the three known examples of such clutters. We prove that through every element, either F or its blocker has the two-point Fano as a minor.

The two-point Fano is a clutter whose sets are the lines, and their complements, of the Fano plane that contain exactly one of two fixed points. I will sketch a proof of this result.

This is joint work with Bertrand Guenin.