EstGraph - Node Count, BA Medium (Simple Walk): leaderboard

Estimating how many nodes a Barabasi-Albert graph of 1,000-10,000 nodes has from simple random-walk statistics that cover 20% of it; EstGraph (Maurya and Liu, 2026). Median relative error of the estimate in percent over 100 synthetic graphs; lower is better.

Metric: Median relative error of the node-count estimate (%; 100 synthetic Barabasi-Albert graphs of 1,000-10,000 nodes, the model reads simple random-walk statistics covering 20% of the graph). Source: arxiv.org. Saturation forecast: Around December 2026. 4 models tracked.

Top models

#ModelScoreOverall rank
1DeepSeek V3.1 (Thinking)26.87#500 (DeepSeek V3.1)
2O3 (High)30.58#224 (O3)
3Claude Sonnet 432.12#397
4Gemini 2.5 Pro62.02#262

No result here: #1 Claude Fable 5.2, #2 Gemini 4 Carbon, #5 Claude Opus 5.5.

Interactive version: theaggregate.ai/benchmark?slug=estgraph-node-count-ba-medium-simple-walk · How It Works · Data refreshed daily, snapshot 2026-11-12.