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Serialization-invariance audit of LLM graph code generation
Does an LLM that solves a graph problem by writing code return the same answer under equivalent serializations of the same graph -- and if not, does the fragility enter when it transcribes the graph into its program, when it constructs a structure from that copy, or in the solution logic?
Produced by ml_graphs at commit 2f43c6f.
Design
Each instance (one graph + one task + one query) is rendered into several equivalent
serializations differing in exactly one axis: relabel, order, structure, syntax.
Every variant is put to the model in three modes, two of them crossed with a solving library:
| mode | graph arrives as | transcribes? | library arms |
|---|---|---|---|
direct (M1) |
text | -- | none |
code (M2) |
text + a fixed program template | yes | networkx, native |
graph_as_code (M3) |
nodes/edges pre-filled by the harness |
no | networkx, native |
M2 and M3 are a minimal pair: the same template, differing only in who fills the two declaration lines. The M2-M3 difference is therefore the cost of transcription alone.
Models
hf-deepseek-v3.1-novitahf-qwen3-8b-nscale
Both served through HuggingFace Inference Providers at temperature 0. The provider is part
of the identity: the same Qwen3-8B degenerated on 29% of prompts on one provider and 0% on
another (see the repo's docs/pipeline-and-caching.md).
Files
tables/<dataset>/accuracy.csv mean(correct) per dataset x task x mode x library x axis x model
invariance.csv frac_identical -- the headline metric, per instance then aggregated
gap.csv M2 - M3 invariance, within a library arm = the cost of transcription
ladder.csv failure shares across prose -> json -> networkx code -> injected
failures.csv failure-class decomposition among code-mode failures
silent_transcription.csv wrong graph, right answer
figs/<dataset>/*.png the same, plotted, one file per model
scored/<dataset>/<model>.jsonl.gz one row per record: every intermediate + the verdict
data/<dataset>/instances.jsonl which graphs, tasks and queries were sampled
Reading scored/
One row per (instance, variant, mode, library, model). Beyond correct and
failure_class it carries the diagnostics that make attribution possible:
| field | meaning |
|---|---|
declared_ok |
the nodes/edges the model wrote == the graph it was shown (transcription) |
construction_ok |
the graph the program built == what it declared (networkx arm only) |
ans_is_literal |
ans was written down, not computed |
finish_reason |
length = the reply was cut off; exclude these before quoting invariance |
n_calls (tables) |
distinct model replies behind a cell |
nis notn_calls. M3's prompt contains no graph text, so for a task whose question names no node (cycle_check,node_count,density, ...) every instance and variant collapses to one reply, executed against every graph. Such a cell can hold 1,000 rows backed by a single model decision -- readn_callsbefore quoting it.
Failure classes
ok wrong execution format transcription construction logic no_computation
unverifiable -- defined in the repo's docs/scoring-and-classification.md.
construction is separable in the networkx arm only, so never pool the failure
decomposition across library.
Accuracy
Computed from scored/:
| Qwen3-8B (nscale) | DeepSeek-V3.1 (novita) | |
|---|---|---|
| GraphQA | 0.899 | 0.853 |
| Erdos | 0.759 | 0.936 |
The models rank oppositely on the two datasets. DeepSeek is far stronger on Erdos -- 0.951 in direct mode against Qwen's 0.647 -- yet slightly weaker on GraphQA, whose graphs are small enough for an 8B model to compete.
Full file layout
tables/<dataset>/*.csv the six analysis tables (both models in each file)
figs/<dataset>/*.png five charts per model
scored/<dataset>/<model>.jsonl.gz one row per record: every intermediate + the verdict
responses/<dataset>/<model>.jsonl.gz raw reply per record + token usage + finish_reason
exec/<dataset>/<model>.jsonl.gz sandbox output: ans, declared/built graph, exceptions
data/<dataset>/instances.jsonl which graphs, tasks and queries were sampled
raw_replies/<model>.tar.gz every reply keyed by prompt hash (65,624 files per model)
raw_replies/ is the paid artifact: unpack it into results/cache/<model>/ and the whole
pipeline re-runs from --stages exec,score with no API calls.
Abandoned runs, kept as evidence
responses/graphqa/hf-qwen3-8b.jsonl.gz-- Qwen3-8B on featherless, stopped after ~8,700 records. It degenerated on 29% of prompts (the the the..., or one edge pair repeated to the 4,096-token ceiling) and those calls consumed 68% of the wall time. The same model on nscale with/no_think: zero loops. The provider is part of a model's identity.responses/graphqa/hf-deepseek-v3.jsonl.gz-- the 20-instance pilot on DeepSeek-V3.
Reproducing
git clone https://github.com/ramramk/ml_graphs && cd ml_graphs
pip install -e .
# drop raw_replies/<model>/ into results/cache/<model>/, then:
python scripts/run.py --config configs/graphqa.yaml --models hf-qwen3-8b-nscale --stages exec,score
python scripts/analyze.py --config configs/graphqa.yaml
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