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 ...

I'm wrapping up a discrete math course for my university. The last chapter gave us an introduction to graph theory, and I want to learn more. The chapter in question introduced some basic concepts: ...

Finding ways of getting from place to place has occupied humanity since the dawn of civilization. The Romans built roads, Moses parted the waters, Dorothy clicked her heels (cf. the Wizard of Oz).

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 ...

An interactive programming package called GRAPH, an expert system for graph theory, was developed at the University of Belgrade, Faculty of Electrical Engineering, during the period 1980-1984, GRAPH ...

Oliva, Rogelio. "Model Structure Analysis Through Graph Theory: Partition Heuristics and Feedback Structure Decomposition." Harvard Business School Working Paper, No. 04-016, October 2003.

The visibility graph (VG) is a technique that acts as a bridge between dynamic systems and graph theory, and has been applied in recent years to analyze different systems in an innovative way. In this ...