PACE 2023 - Properties of the Exact Benchmark Set

The benchmark set for the exact track has the following properties, which may be utilized by the submitted solvers (but doesn’t have to).

Number of Vertices

The minimum number of vertices is $19$, the maximum number is $20000$. The graphs have $1550$ vertices on average.

Number of Edges

The minimum number of edges is $46$, the maximum number is $35052$. The graphs have $5596$ edges on average.

Graph Classes

Roughly $9\%$ of the graphs are planar, $1\%$ is chordal, and $12\%$ are bipartite. The average connectivity of the benchmark set is $6,87$. Each graph has a maximum matching of at least $6$ and of at most $5000$ with an average of $503,665$.