graph-algorithms

Select graph algorithms and verify computations using Sympy and Z3.

8|1|Updated Jan 4, 2026

Search Tags:#z3 #sympy #bfs #mst #graph algorithms #dijkstra #number theory

Ready to run

npx skills add https://github.com/scooter-lacroix/Maestro --skill graph-algorithms-scooter-lacroix

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: graph-algorithms
Source: https://github.com/scooter-lacroix/Maestro/tree/main/maestro/skills/math/math/graph-number-theory/graph-algorithms
Command: npx skills add https://github.com/scooter-lacroix/Maestro --skill graph-algorithms-scooter-lacroix

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill provides strategies and tools for solving complex problems within graph number theory, specifically focusing on graph algorithms.

Core Features & Use Cases

Algorithm Selection Guidance: Offers decision trees for choosing appropriate algorithms like BFS, DFS, Dijkstra, Bellman-Ford, Prim's, and Kruskal's based on problem characteristics.
Tool Integration: Provides direct commands to leverage tools like Sympy and Z3 for mathematical computations and proofs related to graph properties, shortest paths, and minimum spanning trees.
Use Case: When faced with a problem requiring the shortest path in a graph with non-negative edge weights, this Skill guides you to select Dijkstra's algorithm and provides the command to verify its properties using Z3.

Quick Start

Use the graph-algorithms skill to find the shortest paths in an unweighted graph using BFS.

Frequently Asked Questions about graph-algorithms

High-intent search queries and answers about installing and using this skill.

FAQPage Schema

How do I choose the right graph algorithm for finding the shortest path?▼

Selecting a graph algorithm for shortest path computation depends on edge weights; use BFS for unweighted graphs and Dijkstra's algorithm for non-negative edge weights, while Bellman-Ford handles negative weights within graph number theory.

What is the best way to compute a minimum spanning tree in a network graph?▼

Computing a minimum spanning tree involves using Prim's algorithm for dense graphs or Kruskal's algorithm for sparse graphs, with this Skill providing decision trees to guide your algorithm selection based on problem characteristics.

Can I use Z3 to mathematically prove graph algorithm properties?▼

Yes, you can use Z3 for mathematical proofs related to graph properties by leveraging integrated tool commands to verify shortest paths and minimum spanning tree computations deterministically.

How do I verify shortest path computations using Sympy and Z3?▼

Verify shortest path computations by running integrated Sympy and Z3 tool commands provided by the Skill, which support deterministic problem-solving and mathematical proofs for graph number theory challenges.

When should I use BFS instead of Dijkstra for graph traversal?▼

Use BFS instead of Dijkstra's algorithm when traversing an unweighted graph to find the shortest path, as Dijkstra's is specifically designed for graphs with non-negative edge weights.