Hasse Diagrams Using Python 📚

cause i hate myself ✨ and why not.
Generate a Hasse diagram for the power set P(𝑆) of a given set 𝑆={𝑎,𝑏,𝑐} using NetworkX in Python.

VIDEO Demonstartion

🌐 LINK

Project Overview 📜

This project visualizes the subset inclusion relationships in 𝑃(𝑆) the power set of 𝑆={𝑎,𝑏,𝑐} using a Hasse diagram. Hasse diagrams are helpful for visualizing partially ordered sets (posets) where elements are linked by subset relations.

Diagram Explanation 📈

Nodes: Represent each subset in 𝑃(𝑆)P(S) Edges: Represent subset relations, connecting smaller sets to larger ones by inclusion.

Usage 🚀

Run the script:

python hasse_diagram.py

View the output:
The program will display a Hasse diagram for P(S) with all subset inclusion relations.

Installation and Setup 🧰

Clone this repository:

git clone https://github.com/yourusername/Hasse-Diagram-PowerSet.git

cd Hasse-Diagram-PowerSet

Install required packages:

pip install networkx matplotlib

Example 📈

Code Explanation 📝

Define the power set and subset relations: The script defines the power set of S={a,b,c} and uses directed edges to represent subset inclusions. Visualize with matplotlib: Using NetworkX’s shell_layout for a structured, hierarchical view of subset relations.

Built With 🛠️

• Python 🐍
• NetworkX 📈
• Matplotlib 📊

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Thanks
-Shivansh :)