# Maximum Independent Set on Maximum Independent Set Small (s)

Source: [Maximum Independent Set on Maximum Independent Set Small (s)](<https://www.sota2.com/research/sota/maximum-independent-set-on-maximum-independent-set-small-s>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-02-26T05:42:34.763Z

Evaluation of algorithms solving the Maximum Independent Set problem on the 'Maximum Independent Set Small (s)' dataset, reporting execution Time and the number of Nodes processed.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Maximum Independent Set |
| Dataset (including any stated split) | Maximum Independent Set Small (s) |
| Metric | Execution Time |
| Unit | TIME |
| Direction | Lower is better |
| Results loaded | 12 of 12 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Execution Time](<https://www.sota2.com/research/sota/maximum-independent-set-on-maximum-independent-set-small-s.md?metric=Execution%20Time>): Lower is better; unit: TIME.

- [Nodes Processed](<https://www.sota2.com/research/sota/maximum-independent-set-on-maximum-independent-set-small-s.md?metric=Nodes%20Processed>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Execution Time | Result date | Report paper |
| --- | --- | --- | --- |
| MPNN + pairwise | 3.65 | Not recorded | 693a4fe76cfd488761a5489d |
| MPNN + rank | 4.15 | Not recorded | 693a4fe76cfd488761a5489d |
| Subgraph + rank | 4.44 | Not recorded | 693a4fe76cfd488761a5489d |
| MPNN + scores | 5.27 | Not recorded | 693a4fe76cfd488761a5489d |
| Subgraph + scores | 5.93 | Not recorded | 693a4fe76cfd488761a5489d |
| Subgraph + pairwise | 6.6 | Not recorded | 693a4fe76cfd488761a5489d |
| Subgraph + rank | 6.73 | Not recorded | 693a4fe76cfd488761a5489d |
| MPNN + pairwise | 7.19 | Not recorded | 693a4fe76cfd488761a5489d |
| MPNN + rank | 7.64 | Not recorded | 693a4fe76cfd488761a5489d |
| MPNN + scores | 7.9 | Not recorded | 693a4fe76cfd488761a5489d |
| Subgraph + scores | 10.09 | Not recorded | 693a4fe76cfd488761a5489d |
| Subgraph + pairwise | 10.18 | Not recorded | 693a4fe76cfd488761a5489d |

### MPNN + pairwise

Execution Time: 3.65. Result ID: 699975025698665ec4e3853a.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa56571e209131ce99c08f.md>)

Recorded evaluation configuration: {"Model Type":"Heuristic Baseline"}. This record does not assert independent reproduction.

### MPNN + rank

Execution Time: 4.15. Result ID: 699975025698665ec4e38538.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa56571e209131ce99c08f.md>)

Recorded evaluation configuration: {"Model Type":"Heuristic Baseline"}. This record does not assert independent reproduction.

### Subgraph + rank

Execution Time: 4.44. Result ID: 699975025698665ec4e3853e.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

Recorded evaluation configuration: {"Model Type":"Heuristic Baseline"}. This record does not assert independent reproduction.

### MPNN + scores

Execution Time: 5.27. Result ID: 699975025698665ec4e38536.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa56571e209131ce99c08f.md>)

Recorded evaluation configuration: {"Model Type":"Heuristic Baseline"}. This record does not assert independent reproduction.

### Subgraph + scores

Execution Time: 5.93. Result ID: 699975025698665ec4e3853c.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

Recorded evaluation configuration: {"Model Type":"Heuristic Baseline"}. This record does not assert independent reproduction.

### Subgraph + pairwise

Execution Time: 6.6. Result ID: 699975025698665ec4e38540.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

Recorded evaluation configuration: {"Model Type":"Heuristic Baseline"}. This record does not assert independent reproduction.

### Subgraph + rank

Execution Time: 6.73. Result ID: 699975025698665ec4e3853d.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

Recorded evaluation configuration: {"Model Type":"GNN Model"}. This record does not assert independent reproduction.

### MPNN + pairwise

Execution Time: 7.19. Result ID: 699975025698665ec4e38539.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa56571e209131ce99c08f.md>)

Recorded evaluation configuration: {"Model Type":"GNN Model"}. This record does not assert independent reproduction.

### MPNN + rank

Execution Time: 7.64. Result ID: 699975025698665ec4e38537.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa56571e209131ce99c08f.md>)

Recorded evaluation configuration: {"Model Type":"GNN Model"}. This record does not assert independent reproduction.

### MPNN + scores

Execution Time: 7.9. Result ID: 699975025698665ec4e38535.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa56571e209131ce99c08f.md>)

Recorded evaluation configuration: {"Model Type":"GNN Model"}. This record does not assert independent reproduction.

### Subgraph + scores

Execution Time: 10.09. Result ID: 699975025698665ec4e3853b.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

Recorded evaluation configuration: {"Model Type":"GNN Model"}. This record does not assert independent reproduction.

### Subgraph + pairwise

Execution Time: 10.18. Result ID: 699975025698665ec4e3853f.

[Reporting paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/693a4fe76cfd488761a5489d.md>)

Recorded evaluation configuration: {"Model Type":"GNN Model"}. This record does not assert independent reproduction.

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