S. R. Kingan

most citedApplications of the Strong Splitter Theorem: decomposition results

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

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 $E X [S_{10}, S_{10}^{*}]$ …

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

Applications of the Strong Splitter Theorem: decomposition results

Splitters and Decomposers for Binary Matroids

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