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- City University of New YorkUS76 papers
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5 papers · 1 filter
On Seymour's Decomposition Theorem
S. R. Kingan
Let be a class of matroids closed under minors and isomorphism. Let be a matroid in with an exact -separation . We say is a -decompo…
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, . In this paper we determine the class of binary matroids with no prism mi…
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 matrices and representing the same m…
Strong Splitter Theorem
S. R. Kingan, Manoel Lemos
The Splitter Theorem states that, if is a 3-connected proper minor of a 3-connected matroid such that, if is a wheel or whirl then has no larger wheel or whirl, res…
Matroids with at least two regular elements
Sandra Kingan, Manoel Lemos
For a matroid , an element such that both and are regular is called a regular element of . We determine completely the structure of non-regular matr…