# graph_coloring

Color vertices of an undirected graph using a greedy algorithm so no adjacent vertices share a color.

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

## Facts

- Tool: `graph_coloring`
- 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: Execute (High risk)
- Registry record: grade F, identity unverified
- Server rate-limited: no
- Parameters: 2 (2 required)
- Recommended policy verdict: Rate-limited

## Parameters

| Parameter | Type | Required | Description |
| --- | --- | --- | --- |
| `edges` | array | yes | Undirected edges as [u, v] pairs |
| `vertices` | number | yes | Number of vertices (0-indexed) |

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": "graph_coloring",
    "arguments": {
      "edges": [],
      "vertices": 0
    }
  }
}
```

## Why graph_coloring is rated High

This tool runs a greedy algorithm computation on provided graph data. It executes a computational process rather than simply reading stored data or writing/modifying persistent data. However, it appears to be a pure in-memory computation with no side effects on external systems, making it low severity. Confidence is moderate because the description doesn't clarify whether results are stored or purely returned.

From the tool's own definition: "Color vertices of an undirected graph using a greedy algorithm so no adjacent vertices share a color."

## Use case

AI agents invoke graph_coloring to trigger actions in UnClick. What it does depends on the arguments the agent supplies, and its effects often reach beyond the immediate call: builds kicked off, notifications sent, workflows started.

## Recommended policy (PolicyLayer)

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

```json
{
  "version": "1",
  "default": "deny",
  "tools": {
    "graph_coloring": {
      "limits": [
        {
          "counter": "graph_coloring_rate",
          "window": "minute",
          "max": 10,
          "scope": "grant"
        }
      ]
    }
  }
}
```

## 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