How does the scheduling algorithm work?

The server uses a greedy coloring algorithm. It orders agents by their degree in the conflict graph and assigns the lowest available time slot that does not conflict with already scheduled neighbors.

Can I verify if a schedule is valid?

Yes, you can use the `validate_schedule` tool to check if any agents in the same time slot have a resource conflict.

What happens if the schedule is impossible?

If the required number of time slots (chromatic number) exceeds the available slots, the `get_schedule_plan` tool will flag the schedule as unfeasible.

Graph Coloring Scheduler MCP Connector for Claude

A+

Deterministic agent scheduling using graph coloring to prevent resource conflicts.

3 tools Official Updated Oct 1, 2026 Official Vinkius Partner

More Details Connect to Claude

This MCP server provides mathematical tools to organize agent execution schedules. By representing agents as nodes and resource conflicts as edges in a conflict graph, it uses a greedy coloring algorithm to assign time slots. Use get_schedule_plan to generate a full execution plan with metrics like makespan and utilization, validate_schedule to ensure no two conflicting agents run in the same slot, and get_graph_statistics to analyze the structural properties of your conflict graph.

graph-theoryschedulingresource-allocationoptimizationalgorithms

Connect to Claude

Subscribe on Vinkius, then add this connector to Claude.ai or Claude Code.

① Claude.ai (web app)

Go to Settings → Connectors → Add custom connector
Paste the MCP endpoint URL below

https://edge.vinkius.com/vk_preview_RHTY5fvMXXSHfSgZv2Rj5vJwjIn8bcPUndZLR1ED/mcp

② Claude Code (terminal)

claude mcp add --transport http graph-coloring-scheduler https://edge.vinkius.com/vk_preview_RHTY5fvMXXSHfSgZv2Rj5vJwjIn8bcPUndZLR1ED/mcp

③ Claude Desktop

Add to claude_desktop_config.json:

{
  "mcpServers": {
    "graph-coloring-scheduler": {
      "url": "https://edge.vinkius.com/vk_preview_RHTY5fvMXXSHfSgZv2Rj5vJwjIn8bcPUndZLR1ED/mcp"
    }
  }
}

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