Kevin Grace

collaborators

2 papers

math.CO2019

On Density-Critical Matroids

Rutger Campbell, Kevin Grace, James Oxley +1

For a matroid $M$ having $m$ rank-one flats, the density $d (M)$ is $\frac{m}{r ( M )}$ unless $m = 0$ , in which case $d (M) = 0$ . A matroid is density-critical if all of its proper min…

math.CO2019

The Templates for Some Classes of Quaternary Matroids

Kevin Grace

Subject to hypotheses based on the matroid structure theory of Geelen, Gerards, and Whittle, we completely characterize the highly connected members of the class of golden-mean mat…