# Connected regular matroids

## Harald Fripertinger

### September 2, 1998

We implemented a regularity test for binary *(n,k)*-matrix
matroids. From each isomorphism class of these matroids exactly one
representative is tested to be regular or not. We computed the
following numbers of isomorphism classes of
binary or regular (connected) matrix matroids.
Here are the complete lists of representatives of connected
regular matroids for small parameters *n* and *k*.

*n=7, k=3*
*n=8, k=3*
*n=8, k=4*
*n=9, k=3*
*n=9, k=4*
*n=10, k=3*
*n=10, k=4*
*n=10, k=5*
*n=11, k=3*
*n=11, k=4*
*n=11, k=5*
*n=12, k=3*
*n=12, k=4*
*n=12, k=5*
*n=12, k=6*