The higher-order analogue of a graph, for example, is called a hypergraph, and instead of edges, it has “hyperedges.” These can connect multiple nodes, which means it can represent multi-way ...

Felix Lazebnik, professor of mathematical sciences at the University of Delaware and an internationally known expert in graph theory, says this area of study has become the common language for ...

The standard example is the so-called Ladder Graph. A balanced embedding of this graph looks exactly like a ladder. But Holm says: “In an unbalanced embedding, it is hardly recognizable.” ...

Commuting graphs have emerged as a powerful framework for elucidating complex relationships within finite group theory. In these graphs, vertices typically represent non-central elements of a ...

Abstractions blog Undergraduate Math Student Pushes Frontier of Graph Theory At 21, Ashwin Sah has produced a body of work that senior mathematicians say is nearly unprecedented for a college student.

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 ...