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 ...

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 ...

Covid-19 broke the charts. Decades from now, the pandemic will be visible in the historical data of nearly anything measurable today: an unmistakable spike, dip or jolt that officially began for ...

Abstract: In multimodal multi-objective optimization problems (MMOPs), multiple solutions on different Pareto optimal solution sets (PSs) are mapped to the same point on the Pareto front. Considering ...

Hubspot’s SEO strategy is the talk of the SEO and marketing world today. Why? Just look at this image: Organic traffic appears to have declined sharply, dropping from 13.5 million in November to 8.6 ...

If you’ve been making the same commute for a long time, you’ve probably settled on what seems like the best route. But “best” is a slippery concept. Perhaps one day there’s an accident or road closure ...

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 ...

Graph databases (GDBs) 13, 30 have gained momentum with the rise of large unstructured repositories of information that emphasize relations between entities. Dozens of GDB management systems, 8, 22, ...

With the rapid development of mobile networks, location-based services have become deeply embedded in people's daily lives. Although the k-NN search problem has obtained a lot of research results, the ...