Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 133-04. Variable-dimension Weisfeiler–Leman equivalence on general and subcubic graphs

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OpenAI@2026-10-07#rem:oai-p-133-04

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Authors: OpenAI. Family 133.

Title: Variable-dimension Weisfeiler–Leman equivalence on general and subcubic graphs.

Abstract: Deciding joint-update k-dimensional Weisfeiler–Leman equivalence is ${}mathsf{EXPTIME}$-complete when the two graphs are given by explicit adjacency matrices and k ≥ 2 is encoded in binary. The result holds even for connected simple uncolored graphs of equal positive order and maximum degree at most three.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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