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QQA4CO Combinatorial Optimization Benchmark Suite
A unified, pre-converted, ready-to-benchmark collection of
Combinatorial-Optimization (CO) instances for discrete samplers,
annealers, and learning-based solvers. Every family referenced in the
PQQA paper Ichikawa & Iwashita, 2024
is reproduced here, together with a few broadly used community
benchmarks (G-set, DIMACS COLOR, Edwards-Anderson). The dataset is
designed to be solver-agnostic — a companion Python loader is
shipped in QQA4CO, but every
file is plain pickle(networkx.Graph) or numpy.savez, so it can be
used from any framework (PyTorch, JAX, C++, Julia, ...).
Repository id history. The dataset was renamed from
Yuma-Ichikawa/discs-co-bench→Yuma-Ichikawa/qqa4co-benchon 2026-04-20 to reflect the scope expansion beyond DISCS. Hugging Face preserves a redirect from the old id, but please update bookmarks, snapshots, andsnapshot_downloadcalls.
What's inside
The eight config_names (MaxCut, G-set, MIS, MaxClique, NormCut,
Coloring, MIS-RRG, EA3D) collectively cover:
- DISCS (NeurIPS 2023) — MaxCut / MIS / MaxClique / NormCut,
repackaged from the original mixed pickle layouts into a uniform
*.gpickle + manifest.jsonlformat. We only repackage; always cite Goshvadi et al., 2023. - MaxCut G-set — the Helmberg & Rendl (2000) superset
(
G1..G67+G70,G72,G77,G81, 71 graphs total) via Yinyu Ye's Stanford mirror. Best-known cuts track Benlic & Hao (2013) and Matsuda (2018). This is the de facto MaxCut benchmark for annealing and PI-GNN solvers. - PQQA reproduction set (arXiv:2409.02135v2) — full reproduction
of every benchmark from §5.1–§5.5:
- MIS on SATLIB (500 graphs) and Erdős–Rényi random graphs
(
ER-[700-800],ER-[9000-11000]) via the DISCS snapshot. - MIS on d-regular random graphs (RRGs) with
d ∈ {20, 100}×n ∈ {10^4, 10^5, 10^6}— 5 seeds per cell, 30 instances total, ~9.7 GB. - Max Clique on the RB synthetic graphs and the SNAP Twitter real-world graph.
- Max Cut on the DISCS ER/BA random-graph sizes and the Optsicom real-world set.
- Balanced graph partition on VGG / MNIST-conv / ResNet / AlexNet /
Inception-v3 computation graphs (re-uses the
normcut/nets/DISCS graphs with a different objective). - Graph Coloring on all 12 COLOR instances cited in Table 6 —
Mycielski, square Queen, and the three DIMACS real-world graphs
anna,jean,queen8_12.
- MIS on SATLIB (500 graphs) and Erdős–Rényi random graphs
(
- 3D Edwards–Anderson spin glass — Gaussian and bimodal (
±J) couplings on cubic latticesL ∈ {4, 6, 8}, 50 disorder realisations per cell, periodic boundary. A convenience extra for Ising / sampler benchmarks.
Coverage matrix vs. arXiv:2409.02135v2
| Paper row | Instances | HF subset | num_instances |
Best-known reference |
|---|---|---|---|---|
| §5.1 Table 1 — MIS SATLIB | 500 CNFs, ≤1,347 nodes, ≤5,978 edges | mis/satlib/uf |
500 | KaMIS (Lamm et al., 2016; Hespe et al., 2019) |
| §5.1 Table 1 — MIS ER-[700-800] | 128 ER graphs | mis/er/800 |
128 | per-instance KaMIS (carried in manifest) |
| §5.1 Table 1 — MIS ER-[9000-11000] | 16 ER graphs (see caveat ★) | mis/er/10k |
16 | KaMIS aggregate 381.31 (paper Table 5 footnote) |
| §5.1 Table 2 — MIS RRG d=20 | n ∈ {10⁴, 10⁵, 10⁶}, 5 seeds each |
mis-rrg/d20_n{10000,100000,1000000} |
15 | Barbier–Krzakała–Zdeborová 2013 RS density ρ = 0.2498 |
| §5.1 Table 2 — MIS RRG d=100 | n ∈ {10⁴, 10⁵, 10⁶}, 5 seeds each |
mis-rrg/d100_n{10000,100000,1000000} |
15 | Barbier–Krzakała–Zdeborová 2013 RS density ρ = 0.0669 |
| §5.2 Table 3 — Max Clique RB | Xu et al. (2007) RBtest | maxclique/rb/all |
500 | per-instance DISCS reference |
| §5.2 Table 3 — Max Clique Twitter | SNAP Twitter ego-network | maxclique/twitter/all |
196 | per-instance DISCS reference |
| §5.3 Fig. 3 — Max Cut ER | 7 size buckets, 16–1,100 nodes | maxcut/er/er-0.15-n-* |
700 | Gurobi 1 h (DISCS) |
| §5.3 Fig. 3 — Max Cut BA | 7 size buckets, 16–1,100 nodes | maxcut/ba/ba-4-n-* |
700 | Gurobi 1 h (DISCS) |
| §5.3 Table 4 — Max Cut Optsicom | 10 real-world ±1/0 graphs |
maxcut/optsicom/b |
10 | per-instance DISCS reference |
| §5.4 Table 5 — Balanced partition | VGG, MNIST-conv, ResNet, AlexNet, Inception-v3 | normcut/nets/{VGG,MNIST,RESNET,ALEXNET,INCEPTION} (loader swaps the objective) |
5 | no reference optimum; comparative only |
| §5.5 Table 6 — Coloring (Myciel) | myciel5, myciel6 (plus {3,4,7} as extras) |
coloring/myciel |
5 | chromatic number (Mycielski 1955) |
| §5.5 Table 6 — Coloring (Queen) | queen{5..13}_{5..13} (7 of 9 used in Table 6) |
coloring/queen |
9 | tabulated chromatic number |
| §5.5 Table 6 — Coloring (DIMACS) | anna, jean, queen8_12 |
coloring/dimacs |
3 | chromatic number from Trick, 2002 |
★ ER-[9000-11000] caveat. The 16 ER_9000_11000_*.gpickle graphs
are the exact instances released with DISCS and used by PQQA. The
upstream DISCS conversion does not include per-instance KaMIS
labels, so the manifest records best_known: null and qqa bench-run
reports ApR = NaN on this subset. The paper quotes the aggregate
KaMIS average (381.31, Table 5 footnote) — reproducing the Table 1
ApR numbers requires either running KaMIS yourself on each of the 16
graphs or dividing raw IS sizes by that aggregate. We are tracking
upstream to restore per-instance labels.
Convenience extras shipped here that are not in the paper:
gset/standard (G-set MaxCut benchmark), mis/er_density/*
(ER MIS density sweeps), normcut/nets/{BABELFISH,NMT,TTS} (additional
DISCS compute graphs beyond §5.4), and ea3d/* (3D Ising spin glass).
Quick start
Option A — Via QQA4CO (recommended, three one-liners)
git clone https://github.com/Yuma-Ichikawa/QQA4CO.git
cd QQA4CO
pip install -e ".[discs,dev]"
make bench-all-setup # pull every family from this dataset (~14 GB)
qqa bench-run --suite all --output bench_results/mine.json
qqa bench-plot bench_results/mine.json --output report.png
qqa bench-plot renders a publication-quality 2×2 figure with
per-subset bars, a radar chart, feasibility ratios, and per-instance
violin+strip plots. Pass multiple JSON files to produce an A/B/C
comparison:
qqa bench-plot bench_results/baseline.json bench_results/mine.json \
--labels "baseline" "my method" \
--title "ablation vs. baseline" \
--output ab.png
Scoping to a single family or subset:
qqa bench-list # show every available suite
qqa bench-run --suite gset --instances 5
qqa bench-run --suite coloring-dimacs --instances 3 # anna, jean, queen8_12
qqa bench-run --suite mis-rrg-d20_n10000 --instances 5 # PQQA Table 2, n=10^4
qqa bench-run --suite mis-rrg-d100_n1000000 --instances 1 # PQQA Table 2, n=10^6
qqa bench-run --suite ea3d-gaussian-L4 --instances 3
qqa bench-run --suite balanced-partition-nets-INCEPTION --instances 1
The same three verbs are available from Python:
from qqa import bench
bench.list_suites() # {suite_id: (family, graph_type, subset)}
bench.run("gset", instances=5, output="mine.json") # writes to ./bench_results/
bench.plot(["bench_results/mine.json"], output="report.png")
Option B — Plain Python (no QQA4CO required)
from huggingface_hub import snapshot_download
import json, pickle, pathlib
import networkx as nx
import numpy as np
local = snapshot_download(
repo_id="Yuma-Ichikawa/qqa4co-bench",
repo_type="dataset",
allow_patterns=["gset/**"], # ~30 MB; omit to download everything
)
root = pathlib.Path(local)
for line in (root / "gset/standard/manifest.jsonl").open():
rec = json.loads(line)
with (root / "gset/standard" / rec["file"]).open("rb") as fh:
g: nx.Graph = pickle.load(fh)
print(rec["id"], "n=", g.number_of_nodes(), "best_known=", rec["best_known"])
# 3D Edwards-Anderson: coupling lists shipped as .npz
ea = np.load(root / "ea3d/gaussian/L4/0001.npz")
print("L=", int(ea["L"]), "num_couplings=", len(ea["J"]))
Option C — datasets library
Each of the eight families is a separate config_name, so you can
stream just the subset you care about:
from datasets import load_dataset
ds = load_dataset(
"Yuma-Ichikawa/qqa4co-bench",
name="mis-rrg", # or maxcut, gset, mis, maxclique, ...
split="train",
streaming=True,
)
for rec in ds.take(1):
print(rec.keys()) # -> dict_keys(['path', 'bytes', ...])
Layout
.
├── maxcut/ (~3.3 GB, ~9,000 instances; DISCS)
│ ├── ba/ba-4-n-{16-20,32-40,64-75,128-150,256-300,512-600,1024-1100}/
│ ├── er/er-0.15-n-{16-20,32-40,64-75,128-150,256-300,512-600,1024-1100}/
│ └── optsicom/b/ (10 real-world Optsicom graphs)
├── mis/ (~365 MB; DISCS)
│ ├── satlib/uf/ (500 SATLIB CNF → IS graph encodings)
│ ├── er/{800,10k}/ (ER-[700-800] × 128, ER-[9000-11000] × 16)
│ └── er_density/{0.05,0.10,0.20,0.25}/ (additional ER density sweeps)
├── maxclique/ (~131 MB; DISCS)
│ ├── rb/all/ (Xu et al. 2007 RBtest, 500 instances)
│ └── twitter/all/ (SNAP Twitter ego-network, 196 instances)
├── normcut/ (~7.4 MB; DISCS; also consumed by Balanced Partition)
│ └── nets/{VGG,MNIST,RESNET,ALEXNET,INCEPTION,BABELFISH,NMT,TTS}/
├── gset/ (~30 MB; 71 G-set graphs)
│ └── standard/ (G1..G67, G70, G72, G77, G81)
├── coloring/ (~350 KB; procedural + DIMACS)
│ ├── myciel/ (Mycielski graphs k=3..7; chromatic number = k)
│ ├── queen/ (queen-attack graphs on k × k boards, k = 5..13)
│ └── dimacs/ (DIMACS COLOR real-world: anna, jean, queen8_12 — arXiv Table 6)
├── mis-rrg/ (~9.7 GB; procedural)
│ ├── d20_n10000/ (d=20, n=10^4, 5 seeds; PQQA §5.1 Table 2)
│ ├── d20_n100000/ (d=20, n=10^5)
│ ├── d20_n1000000/ (d=20, n=10^6; ~1.6 GB total)
│ ├── d100_n10000/ (d=100, n=10^4; dense regime)
│ ├── d100_n100000/ (d=100, n=10^5)
│ └── d100_n1000000/ (d=100, n=10^6; ~8 GB total)
└── ea3d/ (~280 KB; procedural)
├── gaussian/{L4,L6,L8}/ (N(0,1) couplings; cubic lattice, PBC)
└── bimodal/{L4,L6,L8}/ (±1 couplings; ±J spin glass)
Per-instance file formats
*.gpickle(DISCS, G-set, Coloring, MIS-RRG) —pickle.dump(networkx.Graph). Edge weights are carried on theweightedge attribute (±1for the G-set±1families, real-valued for the Gaussian-weighted families).*.npz(EA3D) — sparse coupling list with arraysi,j,J,L(lattice edge list + cube side). The QQA4CO loaderqqa.datasets.ea3dreassembles theJmatrix and instantiatesqqa.problems.EdwardsAnderson.manifest.jsonl— one JSON object per line, with at least{id, file, best_known, source}. Family-specific extras:num_colors,best_known_source(coloring);d,n,seed(mis-rrg);num_spins,L,distribution(ea3d);num_nodes,num_edges,best_known_source,source_url(gset);problem,graph_type,subset,source(DISCS).
Best-known references
| Family | best_known semantics |
|---|---|
maxcut / mis / maxclique |
upstream DISCS reference, higher is better |
gset |
Benlic & Hao (2013), Matsuda (2018); higher is better |
normcut |
upstream DISCS reference, lower is better |
coloring |
0 (= minimum number of edge conflicts a proper K-colouring must reach); num_colors carries the (known) chromatic number |
mis-rrg |
Barbier–Krzakała–Zdeborová (2013) replica-symmetric asymptotic MIS density × n (ρ_{d=20} = 0.2498, ρ_{d=100} = 0.0669) |
ea3d |
brute-force ground-state energy for N ≤ 20; NaN for larger lattices |
balanced-partition (on normcut/nets/*) |
no published reference (NaN); use for comparative runs only |
Approximation Ratio (ApR) conventions — consistent with the
PQQA paper and with qqa bench-plot:
- Maximization (MaxCut, MIS, MaxClique):
ApR = value / best_known, soApR ≤ 1at optimality. - Minimization (NormCut, Coloring objective-as-conflicts):
ApR = best_known / value, soApR ≤ 1at optimality. - Subsets whose
best_knownisnullorNaNreportApR = NaNand are excluded from aggregate statistics.
Caveats and reproducibility notes
- G-set has upstream holes.
G68,G69,G71,G73–G76,G78–G80return HTTP 404 from the Stanford mirror and are therefore not hosted here.scripts/fetch_gset_data.pylogs the skipped indices. normcut/nets/graphs are highly disconnected. Several computation graphs (BABELFISH,TTS,ALEXNET,VGG, …) consist of a giant component plus dozens of 2–4 node fragments. A naive solver reachesNcut = 0trivially by isolating the small components. Restrict to the largest connected component when you want a non-trivial bisection.TRANSFORMER.pklwas empty in the upstream DISCS release — omitted.normcut-gap_randis not present in the upstream DISCS tarball — omitted.- MIS on RRG at
n = 10^6is fully hosted (5 seeds × 2 degrees, ~9.7 GB total). Eachd=100, n=10^6.gpickleis ~1.6 GB on disk; the full adjacency matrix does not fit in a single dense tensor (n² = 10¹²entries), so solvers must use sparse representations. Re-generate locally withpython scripts/generate_rrg_instances.py --include-hugeif needed. - Barbier
d=100density correction (Apr 2026). Earlier snapshots ofscripts/generate_rrg_instances.pycarried_BARBIER_DENSITY[100] = 0.1360(a typo; that is thed=20asymptotic density), which inflatedbest_knownby roughly 2× on thed100_n10000manifest. The current version uses the correctρ_{d=100} = 0.0669; alld100_n*manifests have been rebuilt. - DIMACS
coloring/dimacs/was added 2026-04-22. The three real-world instancesanna,jean,queen8_12(Table 6 of the PQQA paper) were previously missing. They are now fetched once from Trick's canonical mirror byscripts/generate_coloring_instances.py, cached locally underdata/coloring/_dimacs_cache/, and shipped on the Hub.
Sources
| Resource | URL |
|---|---|
| PQQA paper | https://arxiv.org/abs/2409.02135 |
| DISCS paper | https://openreview.net/forum?id=oi1MUMk5NF |
| DISCS upstream code & data | https://github.com/google-research/discs |
| G-set Stanford mirror | https://web.stanford.edu/~yyye/yyye/Gset/ |
| DIMACS COLOR instances (Trick) | https://mat.tepper.cmu.edu/COLOR/instances |
| SATLIB | https://www.cs.ubc.ca/~hoos/SATLIB/benchm.html |
| SNAP Twitter graph | https://snap.stanford.edu/data/ego-Twitter.html |
| KaMIS | https://karlsruhemis.github.io/ |
| Conversion / generator scripts | https://github.com/Yuma-Ichikawa/QQA4CO/tree/main/scripts |
| QQA4CO per-family READMEs | https://github.com/Yuma-Ichikawa/QQA4CO/tree/main/data |
| This dataset's versioned README | this file |
Citation
If you use this dataset, please cite the PQQA paper (the design target for the scope and the paper that tabulates the expected ApR numbers):
@article{ichikawa2024pqqa,
title = {Optimization by Parallel Quasi-Quantum Annealing with
Gradient-Based Sampling},
author = {Ichikawa, Yuma and Iwashita, Hiroshi},
journal = {arXiv preprint arXiv:2409.02135},
year = {2024},
url = {https://arxiv.org/abs/2409.02135}
}
In addition, please cite the upstream source(s) of whichever subset(s) you use.
DISCS subsets (maxcut, mis, maxclique, normcut) —
data is Goshvadi et al.'s; we only repackage:
@inproceedings{goshvadi2023discs,
title = {{DISCS}: A Benchmark for Discrete Sampling},
author = {Goshvadi, Katayoon and Sun, Haoran and Liu, Xingchao
and Nova, Azade and Zhang, Ruqi and Grathwohl, Will
and Schuurmans, Dale and Dai, Hanjun},
booktitle = {Advances in Neural Information Processing Systems
(NeurIPS Datasets and Benchmarks Track)},
year = {2023},
url = {https://openreview.net/forum?id=oi1MUMk5NF}
}
@inproceedings{sun2023revisiting,
title = {Revisiting Sampling for Combinatorial Optimization},
author = {Sun, Haoran and Goshvadi, Katayoon and Nova, Azade and
Schuurmans, Dale and Dai, Hanjun},
booktitle = {International Conference on Machine Learning (ICML)},
year = {2023}
}
MIS on SATLIB — cite the original SATLIB benchmark:
@incollection{hoos2000satlib,
title = {{SATLIB}: An Online Resource for Research on {SAT}},
author = {Hoos, Holger H. and St{\"u}tzle, Thomas},
booktitle = {SAT 2000: Highlights of Satisfiability Research in the Year 2000},
editor = {Gent, I. P. and van Maaren, H. and Walsh, T.},
publisher = {IOS Press},
pages = {283--292},
year = {2000}
}
MIS reference solutions (KaMIS) — used for SATLIB and ER:
@inproceedings{lamm2016finding,
title = {Finding Near-Optimal Independent Sets at Scale},
author = {Lamm, Sebastian and Sanders, Peter and Schulz,
Christian and Strash, Darren and Werneck, Renato F.},
booktitle = {Proceedings of the 18th Meeting on Algorithm Engineering
and Experiments (ALENEX)},
year = {2016},
doi = {10.1137/1.9781611974317.12}
}
@inproceedings{hespe2019scalable,
title = {Scalable Kernelization for Maximum Independent Sets},
author = {Hespe, Demian and Schulz, Christian and Strash, Darren},
booktitle = {ACM Journal of Experimental Algorithmics (JEA)},
year = {2019},
doi = {10.1145/3355502}
}
Max Clique — RB random model and SNAP Twitter ego-graph:
@article{xu2007random,
title = {Random Constraint Satisfaction: Easy Generation of Hard
(Satisfiable) Instances},
author = {Xu, Ke and Boussemart, Fr{\'e}d{\'e}ric and Hemery, Fred
and Lecoutre, Christophe},
journal = {Artificial Intelligence},
volume = {171},
number = {8-9},
pages = {514--534},
year = {2007},
doi = {10.1016/j.artint.2007.04.001}
}
@misc{leskovec2014snap,
title = {{SNAP} Datasets: {Stanford} Large Network Dataset Collection},
author = {Leskovec, Jure and Krevl, Andrej},
year = {2014},
url = {http://snap.stanford.edu/data}
}
Max Cut G-set — seminal spectral-bundle paper and best-known reference:
@article{helmberg2000gset,
title = {A Spectral Bundle Method for Semidefinite Programming},
author = {Helmberg, Christoph and Rendl, Franz},
journal = {SIAM Journal on Optimization},
volume = {10},
number = {3},
pages = {673--696},
year = {2000},
doi = {10.1137/S1052623497328987}
}
@article{benlic2013bls,
title = {Breakout Local Search for the Max-Cut Problem},
author = {Benlic, Una and Hao, Jin-Kao},
journal = {Engineering Applications of Artificial Intelligence},
volume = {26},
number = {3},
pages = {1162--1173},
year = {2013},
doi = {10.1016/j.engappai.2012.09.001}
}
@article{matsuda2018gset,
title = {{MQLib}: Infrastructure for Empirical Evaluation of Heuristics
for Max-Cut and {QUBO}},
author = {Dunning, Iain and Gupta, Swati and Silberholz, John},
journal = {INFORMS Journal on Computing},
volume = {30},
number = {3},
pages = {608--624},
year = {2018},
doi = {10.1287/ijoc.2017.0798}
}
MIS on regular random graphs — asymptotic density (used as
best_known) and the original hardness argument:
@article{barbier2013hard,
title = {The Hard-Core Model on Random Graphs Revisited},
author = {Barbier, Jean and Krzakala, Florent and Zdeborov{\'a},
Lenka and Zhang, Pan},
journal = {Journal of Physics: Conference Series},
volume = {473},
pages = {012021},
year = {2013},
doi = {10.1088/1742-6596/473/1/012021}
}
@article{angelini2023modern,
title = {Modern Graph Neural Networks Do Worse than Classical
Greedy Algorithms in Solving Combinatorial Optimization
Problems like Maximum Independent Set},
author = {Angelini, Maria Chiara and Ricci-Tersenghi, Federico},
journal = {Nature Machine Intelligence},
volume = {5},
pages = {29--31},
year = {2023},
doi = {10.1038/s42256-022-00589-y}
}
Graph Coloring (COLOR / DIMACS) — Trick's canonical compilation and the two procedural families that cover most of Table 6:
@misc{trick2002color,
title = {Graph Coloring Instances},
author = {Trick, Michael A.},
year = {2002},
note = {Carnegie Mellon, \url{https://mat.tepper.cmu.edu/COLOR/instances.html}}
}
@article{mycielski1955coloring,
title = {Sur le coloriage des graphes},
author = {Mycielski, Jan},
journal = {Colloquium Mathematicae},
volume = {3},
number = {2},
pages = {161--162},
year = {1955}
}
@book{knuth1993sgb,
title = {The Stanford {GraphBase}: A Platform for Combinatorial Computing},
author = {Knuth, Donald E.},
publisher = {ACM Press / Addison-Wesley},
year = {1993}
}
Balanced Graph Partition — GAP baseline and hMETIS framework:
@inproceedings{nazi2019gap,
title = {{GAP}: Generalizable Approximate Graph Partitioning Framework},
author = {Nazi, Azade and Hang, Will and Goldie, Anna and
Ravi, Sujith and Mirhoseini, Azalia},
booktitle = {ICLR Workshop on Representation Learning on Graphs and Manifolds},
year = {2019}
}
@article{karypis1999multilevel,
title = {Multilevel Hypergraph Partitioning: Applications in {VLSI} Domain},
author = {Karypis, George and Aggarwal, Rajat and Kumar, Vipin
and Shekhar, Shashi},
journal = {IEEE Transactions on Very Large Scale Integration (VLSI) Systems},
volume = {7},
number = {1},
pages = {69--79},
year = {1999},
doi = {10.1109/92.748202}
}
Optionally, also cite the QQA4CO repackaging infrastructure:
@misc{ichikawa2026qqa4co,
title = {{QQA4CO}: A Reproducible GPU Benchmark Suite for
Combinatorial Optimization},
author = {Ichikawa, Yuma},
year = {2026},
url = {https://github.com/Yuma-Ichikawa/QQA4CO}
}
License
This repackaging is released under Apache-2.0. The underlying
DISCS, SATLIB, DIMACS, SNAP, and G-set instances inherit the licenses
of their original sources (see the Sources table above); please
consult those upstream links if you redistribute. The procedurally
generated coloring/{myciel,queen}, mis-rrg, and ea3d subsets
are original to this dataset and are released under Apache-2.0.
How to benchmark a new solver
A detailed guide (Python + CLI + Make, with ratio conventions and
per-family feasibility definitions) lives in the QQA4CO docs:
docs/how-to/benchmark.md.
Changelog
- 2026-04-22 — added
coloring/dimacs/(anna, jean, queen8_12); arXiv-2409.02135v2 Table 6 coverage is now 12/12. - 2026-04-20 — added the
d20_n{10⁵, 10⁶}andd100_n{10⁵, 10⁶}RRG cells (four 5-seed subsets, ~9 GB); corrected the Barbierd=100density bug ond100_n10000/manifest.jsonl(best_known×½). - 2026-04-20 — repository renamed from
discs-co-bench→qqa4co-bench.
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