The Templates for Some Classes of Quaternary Matroids

Kevin Grace

doi:10.1016/j.jctb.2020.09.011

The Templates for Some Classes of Quaternary Matroids

Kevin Grace^*

^*Corresponding author for this work

School of Mathematics

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

2 Citations (Scopus)

Abstract

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 matroids and several other closely related classes of quaternary matroids. This leads to a determination of the eventual extremal functions for these classes. One of the main tools for obtaining these results is the notion of a frame template. Consequently, we also study frame templates in significant depth.

Original language	English
Pages (from-to)	286-363
Number of pages	78
Journal	Journal of Combinatorial Theory Series B
Volume	146
Early online date	28 Sept 2020
DOIs	https://doi.org/10.1016/j.jctb.2020.09.011
Publication status	Published - 1 Jan 2021

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https://arxiv.org/abs/1902.07136v3

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title = "The Templates for Some Classes of Quaternary Matroids",

abstract = "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 matroids and several other closely related classes of quaternary matroids. This leads to a determination of the eventual extremal functions for these classes. One of the main tools for obtaining these results is the notion of a frame template. Consequently, we also study frame templates in significant depth. ",

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AB - 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 matroids and several other closely related classes of quaternary matroids. This leads to a determination of the eventual extremal functions for these classes. One of the main tools for obtaining these results is the notion of a frame template. Consequently, we also study frame templates in significant depth.

U2 - 10.1016/j.jctb.2020.09.011

DO - 10.1016/j.jctb.2020.09.011

M3 - Article (Academic Journal)

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EP - 363

JO - Journal of Combinatorial Theory Series B

JF - Journal of Combinatorial Theory Series B

ER -

The Templates for Some Classes of Quaternary Matroids

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