Abstract: Graphs are ubiquitous in modern applications---including some very large graphs. This leads one to wonder, "How can we understand such large graphs?" One prevalent idea is to observe them ...

David Conlon and Asaf Ferber have raised the lower bound for multicolor “Ramsey numbers,” which quantify how big graphs can get before patterns inevitably emerge. “There is no absolute randomness in ...

In this video, I summarize the different transformations you can apply to a graph, specifically focusing on how they impact a quadratic equation. We'll explore how adding, subtracting, or multiplying ...