On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids

Ben Clark; Kevin Grace; James Oxley; Stefan H.M. van Zwam

doi:10.48550/arXiv.1903.04910

On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids

Ben Clark, Kevin Grace, James Oxley, Stefan H.M. van Zwam

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1356-1380
Number of pages	25
Journal	SIAM Journal on Discrete Mathematics
Volume	35
Issue number	2
DOIs	https://doi.org/10.48550/arXiv.1903.04910 https://doi.org/10.1137/20m1369403
Publication status	Published - 17 Jun 2021

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title = "On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids",

abstract = "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.",

author = "Ben Clark and Kevin Grace and James Oxley and Zwam, \{Stefan H.M. van\}",

year = "2021",

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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)

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VL - 35

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EP - 1380

JO - SIAM Journal on Discrete Mathematics

JF - SIAM Journal on Discrete Mathematics

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