Turn optimization problems into flow networks by defining nodes, edges, sources, and sinks. The skill selects suitable methods for maximum flow, minimum cuts, bipartite matching, minimum-cost flow, and circulation problems.
Model optimization problems as network flow problems
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Model optimization problems as network flow problems, constructing appropriate flow networks and selecting optimal algorithms.
{
"type": "object",
"properties": {
"problemDescription": { "type": "string" },
"problemType": {
"type": "string",
"enum": ["maxFlow", "minCut", "matching", "minCostFlow", "circulation"]
},
"constraints": { "type": "object" }
},
"required": ["problemDescription"]
}
{
"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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