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reasoning benchmark

Graphwalks BFS <128k Leaderboard

Graphwalks BFS <128k is a graph reasoning benchmark for evaluating language models on breadth-first search (BFS) operations over graphs with context length under 128k tokens.

Updated Sep 5, 2026

Models11
Model coverage11
MetricScore
EvidenceB

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Graphwalks BFS <128k Ranking

Higher score ranks better on this benchmark.

11 rows
Columns

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Rank
Model
Score
Percentile
Participants
Evidence
Evaluated
Rank01ModelOPGPT-5.2OpenAIScore94.00%Percentile100.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank02ModelOPGPT-5.4OpenAIScore93.00%Percentile90.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank03ModelOPGPT-5OpenAIScore78.30%Percentile80.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank04ModelOPGPT-5.4 miniOpenAIScore76.30%Percentile70.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank05ModelOPGPT-5.4 nanoOpenAIScore73.40%Percentile60.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank06ModelOPGPT-4.5OpenAIScore72.30%Percentile50.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank07ModelOPGPT-4.1OpenAIScore61.70%Percentile40.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank08ModelOPGPT-4.1 miniOpenAIScore61.70%Percentile30.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank09ModelOPo3-miniOpenAIScore51.00%Percentile20.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank10ModelOPGPT-4oOpenAIScore41.70%Percentile10.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank11ModelOPGPT-4.1 nanoOpenAIScore25.00%Percentile0.00%Participants11EvidenceCEvaluatedSep 8, 2026

Graphwalks BFS <128k Highlights

The leading models and scores on this benchmark.

Graphwalks BFS <128k Score Distribution

A closer view of the leading scores on this benchmark.

Graphwalks BFS <128k

The Top AI Models for Graphwalks BFS <128k

The first five results on this benchmark, with official price and output speed added where the model identity can be matched.

What is Graphwalks BFS <128k?

What Graphwalks BFS <128k measures and how its scores work.

A graph reasoning benchmark in which language models perform breadth-first search (BFS) operations on graphs and return nodes reachable at specified depths.

It measures the Score, expressed as a ratio, for returning nodes reachable at specified depths in graphs with context length under 128k tokens.

Scores are shown in ratio. This benchmark is not independently verified and has an evidence level of B.

Family
Graphwalks BFS <128k
Modality
text
Primary category
reasoning
Score direction
higher
LLMBoard eligible
No
Evaluation key
overall

LLM Stats. Benchmark scores retain their original unit. Overall score eligibility is shown separately.

FAQ

Common questions about Graphwalks BFS <128k.

Which model scores highest on Graphwalks BFS <128k?

GPT-5.2 is currently ranked first with 94.00%.

What are the top three models on Graphwalks BFS <128k?

The current leaders are GPT-5.2 (94.00%), GPT-5.4 (93.00%), and GPT-5 (78.30%).

Which Graphwalks BFS <128k model has the lowest official input price?

GPT-4.1 nano has the lowest matched official input price at $0.10 input / $0.40 output per 1M tokens.

Which models are fastest among Graphwalks BFS <128k results?

The fastest matched records are GPT-4.1 mini (467.39 tok/s via OpenAI), GPT-4.1 nano (138.14 tok/s via OpenAI), and GPT-4o (132.00 tok/s via OpenAI).

Does the highest score result prove overall model quality?

No. This benchmark measures one defined capability or task. The overall LLMBoard score uses a separate aggregation across eligible benchmark evidence.

What does Graphwalks BFS <128k measure?

It measures the Score, expressed as a ratio, for returning nodes reachable at specified depths in graphs with context length under 128k tokens.

Is a higher score better?

Yes. Higher values rank better for this benchmark.

How many models are compared?

11 model results are currently shown.

Does this benchmark affect the overall score?

No. This benchmark is shown for reference but does not contribute to the overall score.

Rank #1GPT-5.294.00%
Rank #2GPT-5.493.00%
Rank #3GPT-578.30%
Rank #4GPT-5.4 mini76.30%

Ranking basisThis graphwalks bfs <128k AI model leaderboard uses descending score in the benchmark original unit. The leaderboard ranking keeps matched price and speed data separate from benchmark evidence.

  1. 01
    OP
    GPT-5.2OpenAI
    Score
    94.00%
    Price
    $1.8 input / $14 output per 1M tokens
    Speed
    Up to 100.00 tok/s via OpenAI

    Strengths

    • Ranks #1 of 11 compared models
    • 100th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures Graphwalks BFS <128k, not total model capability
  2. 02
    OP
    GPT-5.4OpenAI
    Score
    93.00%
    Price
    $2.5 input / $15 output per 1M tokens
    Speed
    Up to 50.00 tok/s via OpenAI

    Strengths

    • Ranks #2 of 11 compared models
    • 90th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures Graphwalks BFS <128k, not total model capability
  3. 03
    OP
    OpenAI
    Score
    78.30%
    Price
    $1.3 input / $10 output per 1M tokens
    Speed
    Up to 100.00 tok/s via OpenAI

    Strengths

    • Ranks #3 of 11 compared models
    • 80th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures Graphwalks BFS <128k, not total model capability
  4. 04
    OP
    OpenAI
    Score
    76.30%
    Price
    $0.75 input / $4.5 output per 1M tokens

    Strengths

    • Ranks #4 of 11 compared models
    • 70th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures Graphwalks BFS <128k, not total model capability
  5. 05
    OP
    OpenAI
    Score
    73.40%
    Price
    $0.20 input / $1.3 output per 1M tokens
    Speed
    Up to 118.31 tok/s via OpenAI

    Strengths

    • Ranks #5 of 11 compared models
    • 60th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures Graphwalks BFS <128k, not total model capability

Selection summary

Best AI Models for Graphwalks BFS <128k

GPT-5.2 currently leads Graphwalks BFS <128k with 94.00%. It is the top model on this specific benchmark, while the best LLM for the broader task should also be checked against other benchmarks, price, and runtime.

Use this leaderboard with the supporting benchmark results and coverage details above. A leaderboard position summarizes the selected ranking signal; it does not replace workload-specific testing.

GPT-5
GPT-5.4 mini
GPT-5.4 nano
Benchmark rank #1GPT-5.294.00% · $1.8 input / $14 output per 1M tokens
Benchmark rank #2GPT-5.493.00% · $2.5 input / $15 output per 1M tokens
Benchmark rank #3GPT-578.30% · $1.3 input / $10 output per 1M tokens