# topo_count

Count the number of distinct topological orderings of a DAG.

Agent View of the PolicyLayer registry record for `topo_count`. HTML page: https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/topo-count

## Facts

- Tool: `topo_count`
- Server: UnClick (`@unclick/mcp-server`) — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server.md
- Install: `npx -y @unclick/mcp-server`
- Homepage: https://github.com/malamutemayhem/unclick-agent-native-endpoints.git
- Risk category: Read (Low risk)
- Registry record: grade F, identity unverified
- Server rate-limited: no
- Parameters: 2 (2 required)
- Recommended policy verdict: Allowed

## Parameters

| Parameter | Type | Required | Description |
| --- | --- | --- | --- |
| `edges` | array | yes | Directed edges as [from, to] pairs |
| `num_nodes` | number | yes | Number of nodes (max 20) |

Parameters from the server's own tool schema.

## Example call (MCP tools/call, JSON-RPC 2.0)

```json
{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "topo_count",
    "arguments": {
      "edges": [],
      "num_nodes": 0
    }
  }
}
```

## Why topo_count is rated Low

This is a pure mathematical computation tool. It takes a directed acyclic graph (DAG) as input and computes a derived value (count of topological orderings) without mutating state, executing external commands, or affecting external systems. The misuse risk is minimal—an agent could only waste computational resources or receive incorrect mathematical results.

From the tool's own definition: "Tool 'topo_count' performs a computational query to 'count the number of distinct topological orderings of a DAG.' The description indicates read-only behavior: it retrieves/calculates a count without modifying any underlying data, creating side effects,…"

## Use case

AI agents call topo_count to retrieve information from UnClick without modifying anything. It is typically the context-gathering step in research, monitoring, and reporting workflows, before the agent takes action elsewhere.

## Recommended policy (PolicyLayer)

Verdict: **Allowed**. Enforced by the PolicyLayer MCP gateway (https://policylayer.com/mcp-gateway) before a call reaches UnClick:

```json
{
  "version": "1",
  "default": "deny",
  "tools": {
    "topo_count": {}
  }
}
```

## Other tools on UnClick (1661)

- `delete_todo` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/delete-todo.md
- `email_delete` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/email-delete.md
- `file_sync_prune` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/file-sync-prune.md
- `pinecone_delete_vectors` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/pinecone-delete-vectors.md
- `telegram_manage_chat` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/telegram-manage-chat.md
- `upstash_redis_del` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/upstash-redis-del.md
- `vault_action` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/vault-action.md
- `vercel_delete_env` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/vercel-delete-env.md
- `ackermann` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/ackermann.md
- `anthropic_create_message` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/anthropic-create-message.md
- `avl_tree` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/avl-tree.md
- `baby_giant_step` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/baby-giant-step.md
- `bellman_ford` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bellman-ford.md
- `bezier_curve` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bezier-curve.md
- `bitmask_ops` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bitmask-ops.md
- `bitwise_calc` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bitwise-calc.md
- `bloom_filter` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bloom-filter.md
- `bluesky_action` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bluesky-action.md
- `burrows_wheeler` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/burrows-wheeler.md
- `cartesian_tree` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/cartesian-tree.md
- `chromatic_number` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/chromatic-number.md
- `circleci_trigger_pipeline` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/circleci-trigger-pipeline.md
- `cohere_chat` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/cohere-chat.md
- `cohere_classify` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/cohere-classify.md
- `cohere_generate` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/cohere-generate.md
- `commonsensepass_check` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/commonsensepass-check.md
- `complex_calc` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/complex-calc.md
- `compliancepass_run` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/compliancepass-run.md
- `convex_hull_3d` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/convex-hull-3d.md
- `convolution` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/convolution.md
- …and 1631 more: https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server.md

## For agents

This record is a snapshot. Live verdicts and the full registry:

- Check every server in your MCP config at once: `npx -y policylayer stack`
- Vet a server before you add it: install the mcp-precheck skill — `npx skills add https://policylayer.com` (skill text: https://policylayer.com/skill.md)
- Query the registry over MCP: endpoint `https://api.policylayer.com/mcp` — tools `check_mcp_server`, `check_mcp_stack`, `check_tool`, `search_registry`, `get_change_events`

---

Source: the PolicyLayer MCP registry — one continuously verified record per MCP server. Full record: https://policylayer.com/registry?q=io-github-malamutemayhem-unclick-mcp-server · API: https://policylayer.com/registry/api · Policy library: https://policylayer.com/policies/io-github-malamutemayhem-unclick-mcp-server