Internally 4-Connected Binary Matroids with Every Element in Three Triangles
Let M be an internally 4-connected binary matroid with every element in exactly three triangles. Then M has at least four elements e such that si(M/e) is internally 4-connected. This technical result is a crucial ingredient in Abdi and Guenin’s theorem determining the minimally non-ideal binary clutters that have a triangle.
Publication Source (Journal or Book title)
Chun, C., & Oxley, J. (2019). Internally 4-Connected Binary Matroids with Every Element in Three Triangles. Combinatorica, 39 (4), 825-845. https://doi.org/10.1007/s00493-019-3720-1