# Construction Methods for Gaussoids

## TL;DR

This paper investigates the growth rate of n-gaussoids, establishing bounds through construction methods based on prescribing 3-minors and analyzing combinatorial constraints via transitive graphs.

## Contribution

It introduces new construction techniques for gaussoids by prescribing 3-minors and explores how restrictions on these minors lead to special classes of gaussoids.

## Key findings

- Number of n-gaussoids grows double exponentially with n
- Construction methods rely on prescribing 3-minors
- Special classes emerge from restrictions on 3-minors

## Abstract

The number of $n$-gaussoids is shown to be a double exponential function in $n$. The necessary bounds are achieved by studying construction methods for gaussoids that rely on prescribing $3$-minors and encoding the resulting combinatorial constraints in a suitable transitive graph. Various special classes of gaussoids arise from restricting the allowed $3$-minors.