Brigitte Servatius — April 4

Binary delta-matroids and canonical forms

Brigitte ServatiusWorcester Polytechnic Institute

The handle slide operation, originally defined for ribbon graphs, was extended to delta-matroids by  I. Moffatt and E. Mphako-Bandab, whoshow that, using a delta-matroid analogue of handle slides, every binary delta-matroid in which the empty set is feasible can be written in a canonical form analogous to the canonical form for one-vertex maps on a surface.

We provide a canonical form for binary delta-matroids without restriction on the feasibility of the empty set. This is joint work with Remi Cocu Avohou.

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