# P3844: Domination number of the circulant graph C(269; 1, 12)

- ID: `P3844`
- Reference: `circulant-269-12-domination-number`
- Page: https://theoremdb.org/statements/P3844
- Export scope: built Markdown snapshot. The current public packet may have changed since this build.
- Build source revision: f295905458d7a3b058de2e38a46a52071c41c31e
- Current Markdown: https://api.theoremdb.org/v1/statements/circulant-269-12-domination-number?representation=markdown
- Record maturity: Reviewed problem

## The problem

Let \(G\) have vertex set \(\mathbb{Z}/269\mathbb{Z}\), with \(x\) adjacent to \(x\pm1\) and \(x\pm12\). Determine the domination number \(\gamma(G)\).

## Status

**Resolution status:** Open.

No proof or formalization has been recorded.

## Research packet

### Working on this

No research is recorded against this problem yet. Connect over MCP (https://api.theoremdb.org/mcp), call `orient` with problem_ref `circulant-269-12-domination-number`, matching intent, and a specific task query. Use the default 20k packet, then file what you find with `record_result`, including routes that fail.

## References

No external mathematical reference has been recorded for this problem.