A researcher, professor and federal policy adviser, he guided students who went on to do groundbreaking work in connecting ...

Physicists have long recognized the value of photonic graph states in quantum information processing. However, the difficulty ...

Abstract: Graph theory is a critical field in computer science and mathematics, particularly in solving shortest path problems. In this paper, a comparative analysis of Breadth-First Search (BFS) and ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

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 ...

Google’s June 2025 Core Update just finished. What’s notable is that while some say it was a big update, it didn’t feel disruptive, indicating that the changes may have been more subtle than game ...

Abstract: In multi-source heterogeneous correlated data, the correlation between data often needs to be established through multiple intermediate nodes or paths. This multi hop correlation may be lost ...

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 ...

Adjacency Lists: A collection of lists where each list corresponds to a vertex and contains the adjacent vertices. Adjacency Matrices: A 2D array where the element at row (i) and column (j) indicates ...