S. Kingan

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20112024

most citedA decomposition theorem for binary matroids with no prism minor

8 citations · 11 across the 14 of their papers we have counts for

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Showing 2014 · math.COShow all

4 papers · 2 filters

math.CO2014

Growth rate of binary matroids with no $P_{9}^{*}$ -minor

S. R. Kingan

We prove that the non-regular binary matroids with no $P_{9}^{*}$ -minor have linear growth rate and the maximum size binary matroids with no $P_{9}^{*}$ -minor are graphic. The main techniq…

math.CO2014★ 1 cited

Applications of the Strong Splitter Theorem: decomposition results

S. R. Kingan

We use the Strong Splitter Theorem to decompose the excluded minor class of binary matroids with no $E_{4}$ -minor. Using this theorem we can get the 3-decomposers and the extremal in…

math.CO2014

Splitters and Decomposers for Binary Matroids

Sandra Kingan

Let $E X [M_{1} \dots, M_{k}]$ denote the class of binary matroids with no minors isomorphic to $M_{1}, \dots, M_{k}$ . In this paper we give a decomposition theorem for $E X [S_{10}, S_{10}^{*}]$ …

math.CO2014★ 1 cited

On Seymour's Decomposition Theorem

S. R. Kingan

Let $M$ be a class of matroids closed under minors and isomorphism. Let $N$ be a matroid in $M$ with an exact $k$ -separation $(A, B)$ . We say $N$ is a $k$ -decompo…

Growth rate of binary matroids with no P9∗​-minor

Applications of the Strong Splitter Theorem: decomposition results

Splitters and Decomposers for Binary Matroids

On Seymour's Decomposition Theorem

Growth rate of binary matroids with no $P_{9}^{*}$ -minor