Problem class 10

Topology Design

Graph Golf / Node-Degree-Diameter Problem

Topology design asks for low-diameter graphs under degree limits, a concise model for communication latency and network architecture.

26 Instances
66 Model files
27 Solution files
48 Result rows

Why benchmark these instances

Topology

A graph-design benchmark where a small diameter improvement can be meaningful and hard to prove.

Contribute results

Submit a Topology result

Have a better bound, a new feasible solution, a quantum run, or a useful negative result? QOBLIB accepts benchmark submissions by pull request using the canonical summary CSV template.

Submission sets

Top-level community submission directories for this problem class.

ProblemSubmission setSubmitterDate keyInstancesRowsSource
Topology Design 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 2024-12-06 16 16 Directory
Topology Design 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 2024-12-06 16 16 Directory
Topology Design 20241206_Gurobi-Flow_Schicker Maximilian Schicker 2024-12-06 16 16 Directory

Result rows

Parsed instance-level summary CSV rows for this problem class.

Problem Instance Submission Submitter Date Objective Model Algorithm Total runtime Source
Topology Design topology_50_4 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 5.0 Binary Quadratic Program Deterministic 7200.07 CSV
Topology Design topology_40_6 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 5.0 Binary Quadratic Program Deterministic 7200.05 CSV
Topology Design topology_35_6 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Quadratic Program Deterministic 7200.05 CSV
Topology Design topology_35_5 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 4.0 Binary Quadratic Program Deterministic 7200.03 CSV
Topology Design topology_30_6 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Quadratic Program Deterministic 7200.31 CSV
Topology Design topology_30_5 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Quadratic Program Deterministic 1209.86 CSV
Topology Design topology_30_4 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 4.0 Binary Quadratic Program Deterministic 7200.07 CSV
Topology Design topology_25_6 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 2.0 Binary Quadratic Program Deterministic 36.82 CSV
Topology Design topology_25_5 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Quadratic Program Deterministic 158.43 CSV
Topology Design topology_25_4 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Quadratic Program Deterministic 380.05 CSV
Topology Design topology_25_3 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 4.0 Binary Quadratic Program Deterministic 3934.27 CSV
Topology Design topology_20_5 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 2.0 Binary Quadratic Program Deterministic 14.34 CSV
Topology Design topology_20_4 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Quadratic Program Deterministic 3.9 CSV
Topology Design topology_20_3 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Quadratic Program Deterministic 61.94 CSV
Topology Design topology_15_4 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 2.0 Binary Quadratic Program Deterministic 1.13 CSV
Topology Design topology_15_3 20241206_Gurobi-Seidel-Quadratic_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Quadratic Program Deterministic 2.68 CSV
Topology Design topology_50_4 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 Binary Linear Program Deterministic 7200.02 CSV
Topology Design topology_40_6 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 12.0 Binary Linear Program Deterministic 7200.04 CSV
Topology Design topology_35_6 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Linear Program Deterministic 7200.11 CSV
Topology Design topology_35_5 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 4.0 Binary Linear Program Deterministic 7200.16 CSV
Topology Design topology_30_6 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Linear Program Deterministic 7200.39 CSV
Topology Design topology_30_5 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Linear Program Deterministic 1009.57 CSV
Topology Design topology_30_4 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Linear Program Deterministic 6487.33 CSV
Topology Design topology_25_6 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 2.0 Binary Linear Program Deterministic 94.05 CSV
Topology Design topology_25_5 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Linear Program Deterministic 210.11 CSV
Topology Design topology_25_4 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Linear Program Deterministic 497.25 CSV
Topology Design topology_25_3 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 4.0 Binary Linear Program Deterministic 3325.17 CSV
Topology Design topology_20_5 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 2.0 Binary Linear Program Deterministic 16.13 CSV
Topology Design topology_20_4 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Linear Program Deterministic 3.84 CSV
Topology Design topology_20_3 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Linear Program Deterministic 51.55 CSV
Topology Design topology_15_4 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 2.0 Binary Linear Program Deterministic 3.67 CSV
Topology Design topology_15_3 20241206_Gurobi-Seidel-Linear_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Binary Linear Program Deterministic 3.27 CSV
Topology Design topology_50_4 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 6.0 Flow MIP Deterministic 7200.39 CSV
Topology Design topology_40_6 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 5.0 Flow MIP Deterministic 7200.16 CSV
Topology Design topology_35_6 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 4.0 Flow MIP Deterministic 7200.06 CSV
Topology Design topology_35_5 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 5.0 Flow MIP Deterministic 7200.09 CSV
Topology Design topology_30_6 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 4.0 Flow MIP Deterministic 7201.86 CSV
Topology Design topology_30_5 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 5.0 Flow MIP Deterministic 7200.26 CSV
Topology Design topology_30_4 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 5.0 Flow MIP Deterministic 7200.48 CSV
Topology Design topology_25_6 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 2.0 Flow MIP Deterministic 3101.31 CSV
Topology Design topology_25_5 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Flow MIP Deterministic 7200.18 CSV
Topology Design topology_25_4 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 5.0 Flow MIP Deterministic 7200.72 CSV
Topology Design topology_25_3 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 4.0 Flow MIP Deterministic 7200.66 CSV
Topology Design topology_20_5 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 2.0 Flow MIP Deterministic 342.91 CSV
Topology Design topology_20_4 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Flow MIP Deterministic 1150.18 CSV
Topology Design topology_20_3 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Flow MIP Deterministic 1424.35 CSV
Topology Design topology_15_4 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 2.0 Flow MIP Deterministic 9.05 CSV
Topology Design topology_15_3 20241206_Gurobi-Flow_Schicker Maximilian Schicker 06. Dec. 2024 3.0 Flow MIP Deterministic 94.05 CSV