The Templates for Some Classes of Quaternary Matroids

Kevin Grace*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review


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 languageEnglish
Pages (from-to)286-363
Number of pages78
JournalJournal of Combinatorial Theory Series B
Publication statusE-pub ahead of print - 28 Sep 2020

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