Most of you have used a navigation app like Google Maps for your travels at some point. These apps rely on algorithms that ...

The graph coloring problem involves coloring the nodes of a graph using the minimum number of colors such that no two adjacent nodes share the same color. This NP-hard problem has various real-world ...

Abstract: The evolutions in communication technologies demand high-performance processing units and reliable back-hauling lines for the management of vast data in wireless networks. A reliable ...

The original version of this story appeared in Quanta Magazine. Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price.

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

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 ...

I believe that every person has a superpower. Some lead with instinct, others with precision. Some ignite ideas, others build the systems that make those ideas real. The trick — in business, in ...

Picture this: you’ve decided to host a dinner party. The guest list is small but important. You spend the week cleaning the house, polishing the silver, and making sure every detail reflects care. You ...

ABSTRACT: For a simple undirected graph G, let A( G ) be the (0, 1) adjacency matrix of G. The Seidel matrix of G, is defined as S( G )=J−I−2A( G ) , where J is the all-one matrix and I is the ...

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 ...