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reasoning benchmark

Graphwalks BFS <128k Leaderboard

A graph reasoning benchmark that evaluates language models' ability to perform breadth-first search (BFS) operations on graphs with context length under 128k tokens, returning nodes reachable at specified depths.

Updated Aug 17, 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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Sort by
Rank
Model
Score
Percentile
Participants
Evidence
Evaluated
Rank01ModelOPGPT-5.2OpenAIScore94.0%Percentile100.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank02ModelOPGPT-5.4OpenAIScore93.0%Percentile90.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank03ModelOPGPT-5OpenAIScore78.3%Percentile80.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank04ModelOPGPT-5.4 miniOpenAIScore76.3%Percentile70.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank05ModelOPGPT-5.4 nanoOpenAIScore73.4%Percentile60.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank06ModelOPGPT-4.5OpenAIScore72.3%Percentile50.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank07ModelOPGPT-4.1OpenAIScore61.7%Percentile40.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank08ModelOPGPT-4.1 miniOpenAIScore61.7%Percentile30.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank09ModelOPo3-miniOpenAIScore51.0%Percentile20.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank10ModelOPGPT-4oOpenAIScore41.7%Percentile10.0%Participants11EvidenceCEvaluatedAug 17, 2026
Rank11ModelOPGPT-4.1 nanoOpenAIScore25.0%Percentile0.0%Participants11EvidenceCEvaluatedAug 17, 2026

Graphwalks BFS <128k Highlights

The leading models and scores on this benchmark.

Rank #1GPT-5.294.0%Rank #2GPT-5.493.0%Rank #3GPT-578.3%Rank #4GPT-5.4 mini76.3%

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.

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

  1. 01
    OP
    GPT-5.2OpenAI
    Score
    94.0%
    Price
    $1.8 input / $14 output per 1M tokens
    Speed
    Up to 100 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
    93.0%
    Price
    $2.5 input / $15 output per 1M tokens
    Speed
    Up to 9.1 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
    GPT-5OpenAI
    Score
    78.3%
    Price
    $1.3 input / $10 output per 1M tokens
    Speed
    Up to 100 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
    GPT-5.4 miniOpenAI
    Score
    76.3%
    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
    GPT-5.4 nanoOpenAI
    Score
    73.4%
    Price
    $0.20 input / $1.3 output per 1M tokens

    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 94.0%. 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.

Benchmark rank #1GPT-5.294.0% · $1.8 input / $14 output per 1M tokensBenchmark rank #2GPT-5.493.0% · $2.5 input / $15 output per 1M tokensBenchmark rank #3GPT-578.3% · $1.3 input / $10 output per 1M tokens

What is Graphwalks BFS <128k?

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

A graph reasoning benchmark that evaluates language models' ability to perform breadth-first search (BFS) operations on graphs with context length under 128k tokens, returning nodes reachable at specified depths.

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
Yes
Evaluation key
graphwalks-bfs-<128k|llm-stats-current

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 94.0%.

What does Graphwalks BFS <128k measure?

A graph reasoning benchmark that evaluates language models' ability to perform breadth-first search (BFS) operations on graphs with context length under 128k tokens, returning nodes reachable at specified depths.

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?

Yes. This benchmark can contribute to the current LLMBoard capability score.