ReddRadar
Agent skill
flow-network-builder
Model optimization problems as network flow problems
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/algorithms-optimization/skills/flow-network-builder
SKILL.md
Flow Network Builder Skill
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"]
}
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