8 citations · 19 across the 9 of their papers we have counts for
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math.CO2019
On Density-Critical Matroids
Rutger Campbell, Kevin Grace, James Oxley +1
For a matroid having rank-one flats, the density is unless , in which case . A matroid is density-critical if all of its proper min…
math.CO2019★ 1 cited
On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids
Ben Clark, Kevin Grace, James Oxley +1
Subject to announced results by Geelen, Gerards, and Whittle, we completely characterize the highly connected members of the classes of dyadic, near-regular, and sixth-root-of-unit…
math.CO2019★ 2 cited
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…