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Graph Visualizer is a browser-based tool for visualizing directed and undirected graphs, featuring interactive traversal algorithms using WebGL and Emscripten. Try it out with the demo (note: might not scale well on mobile devices).

Features

Create graphs in polygonal shapes or generate random graphs.
Visualize graph traversal using BFS, DFS, and Dijkstra's algorithm.
Step-by-step execution with one-second intervals.
Interactive UI with WebGL rendering.

Prerequisites

Graph Visualizer is compiled by emcc, available from Emscripten. Build depends on ccache.

Build

Docker

Run docker compose up --build to create local instance of the project and access the demo at http://localhost:8081/demo/.

Manual build

Run the following to setup to get a working copy of this project:

git clone --recurse-submodules -j$(nproc) https://github.com/milosz275/graph-visualizer
cd graph-visualizer
make -j$(nproc)

Setup local server to test the app:

cp src/index.html build
cp assets/favicon.ico build
cd build
python3 -m http.server

Graph Algorithms

[x] BFS - Traverses the graph using a queue, exploring all neighbors of a node before moving to the next level.
[x] DFS - Traverses the graph using a stack, exploring as far as possible along each branch before backtracking.
[x] Dijkstra - Finds the shortest path from a source node to all other nodes using a priority queue, ensuring the lowest-cost path is always processed first. Recovers the best path by backtracking from the target node to the source.
[x] A* - An optimized shortest-path algorithm that combines Dijkstra’s approach with a heuristic function to estimate the remaining cost, guiding the search more efficiently toward the target.
[x] Bellman-Ford - Computes the shortest paths from a source node to all other nodes, allowing for negative-weight edges. Iteratively relaxes edges, ensuring that no shorter path exists. Can detect negative-weight cycles.

Project Structure

The project uses the web-ui frontend framework for rendering. It follows the Model-View-Controller (MVC) architecture to separate concerns effectively.

Model - Abstract elements of the Graph Visualizer such as graph nodes, their physical properties along with graph algorithms, state of individual nodes and representation.
View - Graphical aspect of both the program's state, UI and the graph itself.
Controller - Interaction with the canvas with mouse and canvas translation to model component, and canvas resizing (no keyboard integration at this point).

Design Patterns

Graph Visualizer is a highly abstracted project that leverages multiple design patterns, with MVC as the primary architectural pattern.

Creational Patterns

Singleton – Ensures only one instance of the Graph App exists.
Abstract Factory – Used for UI elements such as labels and buttons, allowing flexible UI customization.

Structural Patterns

Facade – Simplifies interactions with the web framework and user input.
Proxy – Handles input callbacks efficiently.
Composite – Groups nodes into graph structures.

Behavioral Patterns

State Pattern – Manages different states of the program and executes appropriate behavior.
Visitor Pattern – Allows traversal algorithms to operate on graph nodes without modifying their structure.

Force-directed Graph Simulation

Graph Visualizer includes a force-directed graph simulation that models realistic physical interactions between nodes. The simulation applies several forces to create a natural graph layout:

Repulsion Force – Nodes repel each other to avoid overlap, using a repulsion constant k_r.
Attraction Force – Connected nodes attract each other like springs, controlled by an attraction constant k_a and a rest length parameter.
Gravity Force – Nodes experience a gravitational pull toward a central point, determined by a gravity constant k_g.
Velocity and Damping – The simulation updates node positions and velocities over time time_step, with damping to smooth movements.
Explosion Force – An optional burst force can be applied to disperse nodes outward, simulating an explosion effect.

These physics-based forces create an intuitive and interactive experience when exploring graph structures.

Acknowledgements

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License

This project is licensed under the MIT License - see the LICENSE file for details.

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