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Published online by Cambridge University Press: 17 June 2019
What happens if you try to develop matroid theory, but start with topological graph theory? This survey provides an introduction to delta-matroids. We aim to illustrate the two-way interaction between graph theory and delta-matroid theory that enriches both subjects. Along the way we shall seeintimate connections between delta-matroids and, amongst others, circle graphs, Eulerian circuits, embedded graphs, matchings, pivot-minors, (skew-)symmetric matrices, and vertex-minors.
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