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A Splitter Theorem for 3-Connected 2-Polymatroids

2019
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Electronic Journal of Combinatorics
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Seymour's Splitter Theorem is a basic inductive tool for dealing with $3$-connected matroids. This paper proves a generalization of that theorem for the class of $2$-polymatroids. Such structures include matroids, and they model both sets of points and lines in a projective space and sets of edges in a graph. A series compression in such a structure is an analogue of contracting an edge of a graph that is in a series pair. A $2$-polymatroid $N$ is an s-minor of a $2$-polymatroid $M$ if $N$ can

doi:10.37236/7308
fatcat:a4olzfnusrdx7ljeomqhnxtf6q