Coxeter theory investigates groups generated by reflections and the geometric structures arising from their actions, such as root systems and Dynkin diagrams. This body of work underpins vast areas of ...

Graph labeling is a central topic in combinatorial optimisation that involves assigning numerical or categorical labels to vertices or edges of a graph subject to specific constraints. This framework ...

On the 19th of February 2025, M.Sc. Andreas Grigorjew defends his PhD thesis on Algorithms and Graph Structures for Splitting Network Flows, in Theory and Practice. The thesis is related to research ...

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 ...

Researchers thought that they were five years away from solving a math riddle from the 1980's. In reality, and without knowing, they had nearly cracked the problem and had just given away much of the ...

From university courses to cutting-edge research, mastering algorithm design and analysis is more accessible than ever. Whether you're preparing for coding interviews or optimizing complex systems, ...

Graph theory is moving from textbooks to traffic lights, powering smarter transportation networks worldwide. From retail deliveries to freight corridors and urban commuting, it helps planners cut ...

Microsoft's Space Partition Tree and Graph algorithm enables developers to apply vector search to traditional, audio and visual queries. Microsoft has made its Space Partition Tree And Graph (SPTAG) ...