Abstract: In undirected graphs with real non-negative weights, we give a new randomized algorithm for the single-source shortest path (SSSP) problem with running time ...

Abstract: With the development of power grid interconnection, disturbance propagation phenomena are more and more apparent in the form of electromechanical waves. Once a disturbance occurs, its ...

This repository contains my complete solutions to the legendary Karan's Mega Project List — a curated collection of programming challenges designed to improve coding skills across multiple domains.

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 ...

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 the easiest pieces first. But this kind of sorting has a cost.

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 ...

This code is implementation of Dijkstra's algorithm using Adjacency list representation for Undirected weighted graph. When to use Dijkstra's algorithm and Floyd Warshall algorithm ? -> Dijkstra's ...