graph_coloring
Color vertices of an undirected graph using a greedy algorithm so no adjacent vertices share a color.
This record as markdown: /tools/io-github-malamutemayhem-unclick-mcp-server/graph-coloring.md
What graph_coloring does on UnClick
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.
| 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.
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 definition Color vertices of an undirected graph using a greedy algorithm so no adjacent vertices share a color.
Attacks that exploit this kind of access
The rule that runs graph_coloring safely
PolicyLayer is an MCP gateway: it sits between your AI agents and UnClick, and checks every tool call against a rule you set before the call runs. Nothing changes on the server itself. For graph_coloring, this is the rule to start with:
graph_coloring stays usable, but rate-capped: a runaway agent can't fire it dozens of times a minute. Everything else on the server is denied unless you say otherwise.
The button opens the PolicyLayer dashboard: create your workspace, connect UnClick, apply this rule, and every graph_coloring call is checked against it from then on.
Questions about graph_coloring
Color vertices of an undirected graph using a greedy algorithm so no adjacent vertices share a color. It is categorised as a Execute tool in the UnClick MCP Server, which means it can trigger actions or run processes. Use rate limits and argument validation.
graph_coloring accepts 2 parameters: edges, vertices. Required: edges, vertices. The full parameter table on this page comes from the server's own tool schema.
Register the UnClick MCP server in PolicyLayer and add a rule for graph_coloring: allow, deny, rate-limit, or require approval. Point your MCP client at the PolicyLayer proxy URL and the rule is enforced on every call, before it reaches UnClick. Nothing to install.
graph_coloring is a Execute tool with high risk. Execute tools should be rate-limited and have argument validation enabled.
Yes. Add a rate_limit block to the graph_coloring rule in your PolicyLayer policy. For example, setting max: 10 and window: 60 limits the tool to 10 calls per minute. Rate limits are tracked per agent session and reset automatically.
Set action: deny in the PolicyLayer policy for graph_coloring. The AI agent will receive a policy violation error and cannot call the tool. You can also include a reason field to explain why the tool is blocked.
graph_coloring is provided by the UnClick MCP server (@unclick/mcp-server). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.
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