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feat: add Cayley graph connectivity eval problem - #6

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kim-em merged 1 commit into
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eval/cayley-connected-v2
Apr 16, 2026
Merged

feat: add Cayley graph connectivity eval problem#6
kim-em merged 1 commit into
mainfrom
eval/cayley-connected-v2

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@kim-em kim-em commented Apr 13, 2026

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Summary

  • Adds a new eval problem: connectivity of the Cayley graph is equivalent to the generating set generating the group (SimpleGraph.mulCayley S).
  • Bumps mathlib from v4.30.0-rc1 to 50d5513e83c to include the Cayley graph definition PR.
  • Adds problem metadata to manifests/problems.toml.

Test plan

  • CI builds the new .lean file without errors (the theorem is sorry-ed as expected for an eval problem)
  • lake update resolves cleanly with the new mathlib rev
  • Problem manifest parses correctly

🤖 Prepared with Claude Code

@kim-em
kim-em force-pushed the eval/cayley-connected-v2 branch 2 times, most recently from a46c987 to 0754922 Compare April 16, 2026 07:42
Uses the newly defined Cayley graph (SimpleGraph.mulCayley) to state
that connectivity of the Cayley graph is equivalent to the generating
set generating the group. A foundational result in geometric group theory.

Bumps mathlib to include the Cayley graph definition PR.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
@kim-em
kim-em force-pushed the eval/cayley-connected-v2 branch from 0754922 to c34a274 Compare April 16, 2026 07:47
@kim-em
kim-em merged commit 8c964ec into main Apr 16, 2026
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