Gallai–Ramsey theory lies at the intersection of graph colouring and Ramsey theory, providing a framework for understanding how structures emerge in edge-coloured graphs. Central to this domain is the ...

Power graphs provide an innovative way to visualise and analyse the algebraic structure of finite groups. In a power graph, the elements of a finite group serve as vertices, and an edge is drawn ...

Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

For those who hear the phrase “graph theory” and think of the basic pie charts and bar graphs introduced in elementary school, there’s a new world to be explored. “In graph theory, the most simple way ...

As a branch of graph theory, Graph drawing applies topology and geometry to derive two- and three-dimensional representations of graphs. Graph drawing is motivated by applications such as VLSI circuit ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

Neo4j, a leading graph data platform, is unveiling Neo4j Graph Data Science, the company's comprehensive graph analytics workspace built for data scientists. The platform is now available with new and ...

TigerGraph, the enterprise AI infrastructure and graph database leader, is releasing its next generation graph and vector hybrid search, delivering the industry's “most advanced” solution for ...