TY - JOUR
T1 - On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids
AU - Clark, Ben
AU - Grace, Kevin
AU - Oxley, James
AU - Zwam, Stefan H.M. van
PY - 2021/6/17
Y1 - 2021/6/17
N2 - Subject to announced results by Geelen, Gerards, and Whittle [Towards a structure theory for matrices and matroids, in Proceedings of the International Congress of Mathematicians, Vol. III, 2006, pp. 827--842], we completely characterize the highly connected members of the classes of dyadic, near-regular, and sixth-root-of-unity matroids.
AB - Subject to announced results by Geelen, Gerards, and Whittle [Towards a structure theory for matrices and matroids, in Proceedings of the International Congress of Mathematicians, Vol. III, 2006, pp. 827--842], we completely characterize the highly connected members of the classes of dyadic, near-regular, and sixth-root-of-unity matroids.
U2 - 10.48550/arXiv.1903.04910
DO - 10.48550/arXiv.1903.04910
M3 - Article (Academic Journal)
SN - 0895-4801
VL - 35
SP - 1356
EP - 1380
JO - SIAM Journal on Discrete Mathematics
JF - SIAM Journal on Discrete Mathematics
IS - 2
ER -