S. Kingan

activity

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 2012Show all

3 papers · 1 filter

math.CO2012★ 8 cited

A decomposition theorem for binary matroids with no prism minor

Sandra Kingan, Manoel Lemos

The prism graph is the dual of the complete graph on five vertices with an edge deleted, $K_{5} \ e$ . In this paper we determine the class of binary matroids with no prism mi…

math.CO2012

Unlabeled equivalence for matroids representable over finite fields

S. R. Kingan

We present a new type of equivalence for representable matroids that uses the automorphisms of the underlying matroid. Two $r \times n$ matrices $A$ and $A^{'}$ representing the same m…

math.CO2012★ 1 cited

Strong Splitter Theorem

S. R. Kingan, Manoel Lemos

The Splitter Theorem states that, if $N$ is a 3-connected proper minor of a 3-connected matroid $M$ such that, if $N$ is a wheel or whirl then $M$ has no larger wheel or whirl, res…