structured-decomp
StructuredDecompositions.jl sheaves on tree decompositions for FPT algorithms with bidirectional navigation
Profile →npx skills add majiayu000/claude-skill-registry --skill structured-decomp --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Structured Decompositions Skill > Sheaves on tree decompositions with bidirectional navigation **Version**: 1.1.0 **Trit**: 0 (Ergodic - coordinates decomposition) ## bmorphism Contributions > *"Compositional Algorithms on Compositional Data: Deciding Sheaves on Presheaves"* > — [ACT 2023](https://act2023.github.io/papers/paper45.pdf), Benjamin Merlin Bumpus et al. > *"any computational problem which can be represented as a sheaf with respect to these topologies can be decided in linear time on classes of inputs which admit decompositions of bounded width"* > — [arXiv:2302.05575](https://arxiv.org/abs/2302.05575) **Key Insight**: Structured decompositions define **Grothendieck topologies** on categories of data (adhesive categories). This leads to algorithms on objects of any C-set category - structures such as: symmetric graphs, directed graphs, hypergraphs, databases, simplicial complexes, port graphs. **Implementation**: Concrete implementations in the [AlgebraicJulia](https://algebraicjulia.github.io/StructuredDecompositions.jl) ecosystem. Related to bmorphism's work on: - [plurigrid/act](https://github.com/plurigrid/act) - cognitive category theory building blocks - [Towards
- bmorphism Contributions
- Core Concept
- The 𝐃 Functor
- Specter-Style Navigation for Decompositions
- Decomposition Navigators
- FPT Complexity
- Integration with lispsyntax-acset
- Adhesion as Colored Boundary
- GF(3) Triads
- Time-Varying Data (Brunton + Spivak Integration)
- Julia Scientific Package Integration
- Cross-Domain Decomposition Patterns
- References
- See Also
What does the structured-decomp skill do?
StructuredDecompositions.jl sheaves on tree decompositions for FPT algorithms with bidirectional navigation
How do I install it?
Run `npx skills add majiayu000/claude-skill-registry --skill structured-decomp --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From majiayu000/claude-skill-registry, a repository with 534 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.