graph-theory

Model and analyze graph structures with Python and NetworkX.

Updated Jan 26, 2026
One-click install
npx skills add https://github.com/SPIRAL-EDWIN/MCM-ICM-2601000 --skill graph-theory
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: graph-theory
Source: https://github.com/SPIRAL-EDWIN/MCM-ICM-2601000/tree/main/.github/skills/graph-theory
Command: npx skills add https://github.com/SPIRAL-EDWIN/MCM-ICM-2601000 --skill graph-theory

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This skill models and analyzes graphs to answer connectivity and path questions.

Core Features & Use Cases

  • Graph representation: adjacency matrix/list, directed/undirected, weighted/unweighted.
  • Traversal & analysis: DFS, BFS, connected components, shortest paths, centrality.
  • Use Case: Determine the number of connected components in a social network or find the shortest route in a transportation network.

Quick Start

Install dependencies: pip install networkx matplotlib Run a quick example: python -c "import networkx as nx; G=nx.path_graph(5); print(nx.shortest_path(G,0,4))"

Frequently Asked Questions about graph-theory

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

FAQPage Schema
How do I find the shortest path in a transportation network using Python?

To find the shortest path in a transportation network, this skill uses Python and NetworkX to construct graphs and compute route optimization. It applies path algorithms to determine the most efficient connections between nodes.

What is the best way to detect connected components in a social network?

Detecting connected components in a social network involves applying traversal algorithms like DFS and BFS to identify isolated subgraphs. This skill models the graph structure to isolate these distinct clusters.

Can I compute centrality to find key nodes in a dependency graph?

Yes, you can compute centrality to find key nodes in a dependency graph. This skill performs centrality assessment on graph structures to highlight critical communication or dependency links.

Do I need to install NetworkX and matplotlib to analyze graph structures?

Yes, you need to install NetworkX and matplotlib to analyze graph structures and visualize results. Python requires these libraries to construct graphs, perform traversal, and render network outputs.

How do graph traversal algorithms like BFS and DFS handle directed weighted networks?

Graph traversal algorithms like BFS and DFS handle directed weighted networks by representing them as adjacency matrices or lists. This allows traversal to process directional connectivity and edge weights accurately.

Why use Python NetworkX for network connectivity analysis instead of other data tools?

Use Python NetworkX for network connectivity analysis to construct graphs and perform component detection natively. It provides built-in traversal, centrality, and shortest path functions tailored for graph structures.