# The incidence matrix of a $q$-ary graph

## TL;DR

This paper introduces a definition of $q$-ary graphs and explains how to construct their incidence matrices, linking these concepts to the theory of $q$-matroids.

## Contribution

It proposes a new definition for $q$-ary graphs and details the construction of their incidence matrices, connecting graph theory with $q$-matroid theory.

## Key findings

- Defined the concept of $q$-ary graphs
- Described the construction of incidence matrices for $q$-ary graphs
- Linked $q$-ary graphs to $q$-matroid theory

## Abstract

In this short note we will propose a definition of a $q$-ary graph. Furthermore, we describe how to make an incidence matrix for it, with an eye on the corresponding $q$-matroid.