A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections. “It’s a bit of a surprise, at least for me, that such a combination ...

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 ...

Community search has emerged as a fundamental task in the analysis of large-scale graphs and social networks, where the aim is to efficiently extract subgraphs that are both structurally cohesive and ...