Counting delta-matroids by computer, we obtain d 1 = 3 , d 2 = 15 , d 3 = 155 , d 4 = 5959 , d 5 = 4980259 and d 6 = 2746801811279 . The code used is available ...

Sep 27, 2016 · Abstract:We give upper and lower bounds on the number of delta-matroids, and on the number of even delta-matroids.

As a special case, an even delta-matroid is a delta-matroid in which either all sets have even number of elements, or all sets have an odd number of elements.

Aug 9, 2023 · We give upper and lower bounds on the number of delta-matroids, and on the number of even delta-matroids. Metadata. Item Type: Monograph ( ...

Request PDF | How many delta-matroids are there? | We give upper and lower bounds on the number of delta-matroids, and on the number of even delta-matroids.

Jan 2, 2024 · A delta-matroid is a generalization of a matroid. It is a set system (E,F) with F≠∅ satisfying the symmetric exchange axiom.

Jul 13, 2016 · I will discuss delta-matroids in this post, their discovery and natural ways that a mathematician may innocently stumble into their wonderful world.

Delta- matroids are related to many different matroidal-objects, including the following: Tardos' g-matroids [71], Kung's Pfaffian structures [47], Qi's ...

In this paper we propose an analogous correspondence between embedded graphs and delta-matroids. We show that delta-matroids arise as the natural extension of ...

There are many constructions of delta-matroids in the literature. Two of the most fundamental come from matroids: given a matroid M on [n], we can construct ...