# The triconnected Kontsevich graph complex

Source: [The triconnected Kontsevich graph complex](<https://www.sota2.com/research/paper/68fa5d251e209131ce9d75d7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T18:04:12.582Z

Authors: Thomas Willwacher

Published: 2025-03-21T13:31:00.000Z

## Abstract

We show that a smaller version of the Kontsevich graph complex spanned by triconnected graphs is quasi-isomorphic to the full Kontsevich graph complex.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

- [Story Evaluation on StoryER (test)](<https://www.sota2.com/research/sota/story-evaluation-on-storyer-test.md>): Story Evaluation; StoryER (test); Pearson Correlation: 0.3142.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2503.17131>)

[PDF](<https://arxiv.org/pdf/2503.17131.pdf>)