Every year, the countries competing in the International Mathematical Olympiad arrive with a booklet of their best, most ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

Abstract: Network alignment is a fundamental task in biological network analysis, aiming to identify corresponding nodes across multiple graphs such as protein–protein interaction (PPI) networks.

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 ...

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 ...

I know that for chordal graphs, Sage has a function to recognize a perfect elimination ordering. This problem is somewhat similar, identifying chordal bipartite graphs. The following theorem is ...

Swift Graphs library provides a composable and extensible foundation for working with graphs. Whether you're constructing binary trees, performing complex graph traversals, or optimizing pathfinding ...

The rise of high-speed internet in the early 2000s transformed the global labor market for high-skilled labor. As email, instant messaging, and voice over internet calling (e.g., Skype) became ...