Cycle detection in directed graphs, topological sort, Kahn’s algorithm. These are the ones that feel simple until you’re implementing them and something quietly goes wrong. Same idea as BFS: try to ...

The hardest problem in any marketplace is not growth — it is knowing what caused it. Nihar V. Patel, a product data scientist ...

Abstract: Bipartite graphs are widely used in many real-world applications, where discovering clusters is crucial for understanding their underlying structure. However, most existing clustering ...

ABSTRACT: In this paper, a sufficient condition for a balanced bipartite graph to contain a 2-factor F is given. We show that every balanced bipartite graph of order 2n ( n≥6 ) and e( G )> n 2 −2n+4 ...

School of Mathematics and Statistics, Shandong Normal University, Jinan, China. In the next section, a statement of the problem is introduced. Afterwards, the proof of the main results is established.

Abstract: Graphs are a powerful tool for representing entities and their relationships. Current advances in graph signal processing have made it possible to analyze graph-based data more effectively.

In this article, we will demonstrate how to use the graphing feature in the Windows calculator to try and make mathematics more fun. Microsoft has always strived to kick up a notch the Windows ...

A video viewed thousands of times online disputes the reliability of an authoritative graph showing cooling global temperatures over 1,000 years and rapid warming in the 20th century. A speaker in the ...