Agent skill

graph-algorithm-selector

Select optimal graph algorithm based on problem constraints

Stars 514
Forks 31

Install this agent skill to your Project

npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/algorithms-optimization/skills/graph-algorithm-selector

SKILL.md

Graph Algorithm Selector Skill

Purpose

Select the optimal graph algorithm based on problem constraints, graph properties, and performance requirements.

Capabilities

  • Constraint analysis for algorithm selection
  • Trade-off analysis (Dijkstra vs Bellman-Ford vs Floyd-Warshall)
  • Special case detection (sparse vs dense, negative edges)
  • Algorithm complexity mapping to constraints
  • Suggest algorithm variants and optimizations

Target Processes

  • shortest-path-algorithms
  • advanced-graph-algorithms
  • graph-traversal
  • graph-modeling

Algorithm Selection Matrix

Shortest Path

Scenario Algorithm Complexity
Unweighted BFS O(V+E)
Non-negative weights Dijkstra O((V+E)log V)
Negative weights Bellman-Ford O(VE)
All pairs Floyd-Warshall O(V^3)
DAG Topological + DP O(V+E)

MST

Scenario Algorithm Complexity
Sparse graph Kruskal O(E log E)
Dense graph Prim O(V^2) or O(E log V)

Input Schema

json
{
  "type": "object",
  "properties": {
    "problemType": {
      "type": "string",
      "enum": ["shortestPath", "mst", "connectivity", "flow", "matching", "traversal"]
    },
    "graphProperties": { "type": "object" },
    "constraints": {
      "type": "object",
      "properties": {
        "V": { "type": "integer" },
        "E": { "type": "integer" },
        "negativeWeights": { "type": "boolean" },
        "negativeCycles": { "type": "boolean" }
      }
    }
  },
  "required": ["problemType", "constraints"]
}

Output Schema

json
{
  "type": "object",
  "properties": {
    "success": { "type": "boolean" },
    "recommendedAlgorithm": { "type": "string" },
    "complexity": { "type": "string" },
    "alternatives": { "type": "array" },
    "reasoning": { "type": "string" }
  },
  "required": ["success", "recommendedAlgorithm"]
}

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