3 citations · 7 across the 4 of their papers we have counts for
6 papers
Flag matroids: algebra and geometry
Amanda Cameron, Rodica Dinu, Mateusz Michałek +1
Matroids are ubiquitous in modern combinatorics. As discovered by Gelfand, Goresky, MacPherson and Serganova there is a beautiful connection between matroid theory and the geometry…
The Tutte polynomial via lattice point counting
Amanda Cameron, Alex Fink
We recover the Tutte polynomial of a matroid, up to change of coordinates, from an Ehrhart-style polynomial counting lattice points in the Minkowski sum of its base polytope and sc…
Excluded minors for the class of split matroids
Amanda Cameron, Dillon Mayhew
Split matroids form a minor-closed class of matroids, and are defined by placing conditions on the system of split hyperplanes in the matroid base polytope. They can equivalently b…
A splitter theorem for connected clutters
Amanda Cameron, Dillon Mayhew
A clutter consists of a finite set and a collection of pairwise incomparable subsets. Clutters are natural generalisations of matroids, and they have similar operations of deletion…
A lattice point counting generalisation of the Tutte polynomial
Amanda Cameron, Alex Fink
The Tutte polynomial for matroids is not directly applicable to polymatroids. For instance, deletion-contraction properties do not hold. We construct a polynomial for polymatroids…
Kinser inequalities and related matroids
Amanda Cameron
Kinser developed a hierarchy of inequalities dealing with the dimensions of certain spaces constructed from a given quantity of subspaces. These inequalities can be applied to the…