Flow Network Builder Skill

SkillAI & models

Model optimization problems as network flow problems

Instructions available. Your AI can read the instructions. Execution depends on the setup they require.

Account requirements not reviewed. Check the skill instructions before use; ahel provides instructions and does not run this skill.

Add ahel to your AI once: Claude, ChatGPT, Cursor, Claude Code or Codex. Then ask it to use this.

Then ask your AI: use the Flow Network Builder Skill skill

What this skill tells your AI

The instructions your AI receives, as published by a5c-ai/babysitter in library/specializations/algorithms-optimization/skills/flow-network-builder/SKILL.md and read by ahel’s review.

Purpose

Model optimization problems as network flow problems, constructing appropriate flow networks and selecting optimal algorithms.

Capabilities

Identify max-flow/min-cut modeling opportunities
Construct flow network from problem description
Select optimal flow algorithm
Handle min-cost flow variants
Bipartite matching reduction
Circulation problems

Target Processes

advanced-graph-algorithms
graph-modeling
optimization problems

Flow Problem Types

Maximum Flow: Find max flow from source to sink
Minimum Cut: Partition minimizing cut capacity
Bipartite Matching: Maximum matching via flow
Min-Cost Max-Flow: Cheapest maximum flow
Circulation: Flow with lower bounds

Reduction Patterns

Assignment problems -> Bipartite matching
Scheduling -> Flow with constraints
Path cover -> Flow reduction
Edge-disjoint paths -> Unit capacity flow

Input Schema

{
  "type": "object",
  "properties": {
    "problemDescription": { "type": "string" },
    "problemType": {
      "type": "string",
      "enum": ["maxFlow", "minCut", "matching", "minCostFlow", "circulation"]
    },
    "constraints": { "type": "object" }
  },
  "required": ["problemDescription"]
}

Output Schema

{
  "type": "object",
  "properties": {
    "success": { "type": "boolean" },
    "networkDescription": { "type": "string" },
    "nodes": { "type": "array" },
    "edges": { "type": "array" },
    "source": { "type": "string" },
    "sink": { "type": "string" },
    "algorithm": { "type": "string" },
    "reduction": { "type": "string" }
  },
  "required": ["success"]
}

Signals

GitHub stars: 2k
Forks: 112
Last commit: Sep 2026

Advanced

Item type: skill
Key: flow-network-builder
Source: github.com/a5c-ai/babysitter

github.com/a5c-ai/babysitter