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long context 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 lengths exceeding 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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Sort by
Rank
Model
Score
Percentile
Participants
Evidence
Evaluated
Rank01ModelOPGPT-5.6 SolOpenAIScore90.70%Percentile100.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank02ModelOPGPT-5.6 LunaOpenAIScore81.30%Percentile90.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank03ModelANClaude Mythos PreviewAnthropicScore80.00%Percentile80.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank04ModelOPGPT-5.6 TerraOpenAIScore76.90%Percentile70.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank05ModelANClaude Opus 4.8AnthropicScore68.10%Percentile60.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank06ModelANClaude Opus 4.6AnthropicScore61.50%Percentile50.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank07ModelOPGPT-5.5OpenAIScore45.40%Percentile40.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank08ModelOPGPT-5.4OpenAIScore21.40%Percentile30.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank09ModelOPGPT-4.1OpenAIScore19.00%Percentile20.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank10ModelOPGPT-4.1 miniOpenAIScore15.00%Percentile10.00%Participants11EvidenceCEvaluatedSep 8, 2026
Rank11ModelOPGPT-4.1 nanoOpenAIScore2.90%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 long-context graph reasoning benchmark focused on breadth-first search (BFS) operations.

It measures language models' ability to perform BFS on graphs with context lengths over 128k tokens, using Score as a ratio.

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
long context
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-5.6 Sol is currently ranked first with 90.70%.

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

The current leaders are GPT-5.6 Sol (90.70%), GPT-5.6 Luna (81.30%), and Claude Mythos Preview (80.00%).

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-5.5 (134.94 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 language models' ability to perform BFS on graphs with context lengths over 128k tokens, using Score as a ratio.

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-5.6 Sol90.70%
Rank #2GPT-5.6 Luna81.30%
Rank #3Claude Mythos Preview80.00%
Rank #4GPT-5.6 Terra76.90%

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-5.6 SolOpenAI
    Score
    90.70%
    Price
    $4.0 input / $20 output per 1M tokens
    Speed
    Up to 2.36 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-5.6 LunaOpenAI
    Score
    81.30%
    Price
    $0.20 input / $1.2 output per 1M tokens
    Speed
    Up to 41.87 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
    AN
    Anthropic
    Score
    80.00%

    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
    76.90%
    Price
    $2.0 input / $12 output per 1M tokens
    Speed
    Up to 99.35 tok/s via OpenAI

    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
    AN
    Anthropic
    Score
    68.10%
    Price
    $5.0 input / $25 output per 1M tokens
    Speed
    Up to 42.00 tok/s via Vertex AI

    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-5.6 Sol currently leads Graphwalks BFS >128k with 90.70%. 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.

Claude Mythos Preview
GPT-5.6 Terra
Claude Opus 4.8
Benchmark rank #1GPT-5.6 Sol90.70% · $4.0 input / $20 output per 1M tokens
Benchmark rank #2GPT-5.6 Luna81.30% · $0.20 input / $1.2 output per 1M tokens
Benchmark rank #3Claude Mythos Preview80.00%