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Topological Graph Theory

Graphs Session #4 #2

Subevent of Graphs Session #4

Central Time (US & Canada)

Starts at: 2025-08-13 09:00AM

Ends at: 2025-08-13 09:25AM

Forbidden complexes for the 3-sphere

Makoto Ozawa ⟨w3c@komazawa-u.ac.jp⟩

Abstract:

A simplicial complex is said to be critical (or forbidden) for the 3-sphere S3 if it cannot be embedded in S3, but becomes embeddable upon removing the open star of any simplex in its second barycentric subdivision.

We classify all critical complexes for S3 that decompose as (G×S1)H, where G and H are graphs whose intersection GH consists solely of vertices of H.

This is a joint work with Mario Eudave-Munoz.

Notes:

A preprint is available at arXiv:2403.18279.

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