## Abstract

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 see intimate connections between delta-matroids and, amongst others, circle graphs, Eulerian circuits, embedded graphs, matchings, pivot-minors, (skew-)symmetric matrices, and vertex-minors.

We aim to illustrate the two-way interaction between graph theory and delta-matroid theory that enriches both subjects. Along the way we shall see intimate connections between delta-matroids and, amongst others, circle graphs, Eulerian circuits, embedded graphs, matchings, pivot-minors, (skew-)symmetric matrices, and vertex-minors.

Original language | English |
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Title of host publication | Surveys in combinatorics 2019 |

Publisher | Cambridge University Press |

Pages | 167-220 |

ISBN (Print) | 9781108649094 |

DOIs | |

Publication status | Published - 2019 |

### Publication series

Name | London Math. Soc. Lecture Note Ser. |
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Publisher | Cambridge University Press |

Volume | 446 |