Researchers have proved a special case of the Erdős-Hajnal conjecture, which shows what happens in graphs that exclude anything resembling a pentagon. When you walk into a room full of people, you can ...

Abstract: Since graphs can represent the topology of a network, people often transform the topology of a network into a graph for analysis. The star network is a common computer network topology in ...

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 ...

Abstract: Edge connectivity is a crucial concept in graph theory, which often serves as a fundamental metric for analyzing and improving the robustness, efficiency ...

How would you feel if you saw demand for your favorite topic — which also happens to be your line of business — grow 1,000% in just two years’ time? Vindicated, overjoyed, and a bit overstretched in ...

Chemical graph theory provides a rigorous framework for representing molecular structures as graphs, where vertices denote atoms and edges represent bonds. This mathematical abstraction facilitates ...

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 ...