Graph theory is a powerful tool for addressing problems involving discrete structures, such as determining the shortest length of connected river networks or the shortest distance between connected ...

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🎯 Overview This repository presents a comprehensive analysis of airline route networks using graph theory and advanced shortest path algorithms. The project implements Johnson's algorithm to identify ...

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Shortest Path: The most efficient route between two vertices in a graph, minimising distance, cost or time. Node Cut Set: A subset of vertices whose removal disconnects the graph, used to simplify ...

In recent years, with the public availability of AI tools, more people have become aware of how closely the inner workings of ...

Path planning still remains one of the core problems in modern robotic applications, such as the design of autonomous vehicles and perceptive systems. The basic path-planning problem is concerned with ...

Implementation Details Johnson's Algorithm: This algorithm works by re-weighting the graph's edges to eliminate negative weights. This is achieved by computing a "potential" for each vertex using a ...

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Title Using Linear Graph Theory and the Principle of Orthogonality to Model Multibody, Multi-Domain Systems ...