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This repository contains my 3rd semester B.Tech Discrete Mathematics project a comprehensive study of Dijkstra's Algorithm, one of the most famous and widely-used graph algorithms in computer science.

Shortest path algorithms sit at the heart of modern graph theory and many of the systems that move people, data, and goods around the world. After nearly seventy years of relying on the same classic ...

Abstract: Efficient flight pathfinding on realistic airline networks usually involves the optimization of price, total travel time, and layover time. This work experimentally contrasts Dijkstra’s and ...

Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price. Unhappy with their meager profits, they meet one night in a ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

There is a new sorting algorithm a deterministic O(m log2/3 n)-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition ...

Abstract: Dijkstra’s shortest path algorithm is a fundamental graph search method widely used in domains such as navigation, robotics, gaming, and network routing. However, its performance can degrade ...

This article introduces a model-based design, implementation, deployment, and execution methodology, with tools supporting the systematic composition of algorithms from generic and domain-specific ...

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...