# Graph Coloring Scheduler AI Agent Connect

> Deterministic agent scheduling using graph coloring to prevent resource conflicts.

## Overview
- **Category:** scheduling
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_RHTY5fvMXXSHfSgZv2Rj5vJwjIn8bcPUndZLR1ED/ai-agent-connect
- **Tags:** graph-theory, scheduling, resource-allocation, optimization, algorithms

## Description

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.

## Tools

### validate_schedule


### get_schedule_plan


### get_graph_statistics


## Prompt Examples

**Prompt:** 
```
Generate a schedule for agents A, B, and C where A conflicts with B and B conflicts with C, given 2 available time slots of 10 minutes each.
```

**Response:** 
```
Slot 1: Agents A and C. Slot 2: Agent B. Total makespan is 20 minutes.
```

**Prompt:** 
```
What are the graph statistics for a set of agents with these conflicts: {agentA: '1', agentB: '2'}, {agentA: '1', agentB: '3'}?
```

**Response:** 
```
Agent 1 has a degree of 2, while agents 2 and 3 have a degree of 1. The total number of edges is 2.
```

**Prompt:** 
```
Check if this schedule is valid: Slot 1 contains agents X and Y, and there is a conflict between X and Y.
```

**Response:** 
```
The schedule is invalid because agents X and Y have a conflict and are assigned to the same slot.
```

## Frequently Asked Questions

**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.