4 papers
math.CO2025
The excluded minors of the class of spike minors
Sam Bastida, Nick Brettell, Rutger Campbell +4
Mayhew et al.\ (2021) posed the problem of showing that the minor-closed class of spikes and their minors has a finite set of excluded minors and describing all of them. In this pa…
math.CO2022
A splitter theorem for elastic elements in -connected matroids
George Drummond, Charles Semple
An element of a -connected matroid is elastic if , the simplification of , and , the cosimplification of , ar…
math.CO2021
A generalisation of uniform matroids
George Drummond
A matroid is uniform if and only if it has no minor isomorphic to and is paving if and only if it has no minor isomorphic to . This p…
math.CO2020
Elastic elements in 3-connected matroids
George Drummond, Zachary Gershkoff, Susan Jowett +2
It follows by Bixby's Lemma that if is an element of a -connected matroid , then either ${\rm co}(M\delete e)$, the cosimplification of $M\delete e$, or ,…