## About Combinatorics

Combinatorics is the study of objects whose constituents are discrete, or separated, as opposed to those that are continuous. It is a vibrant field with major interactions with algebra, analysis, and probability and it has a substantive connection with almost every field in mathematics. There are dozens of overlapping areas of specialty within combinatorics, but graphs and hypergraphs, enumeration, and combinatorial geometry are particularly large and active categories of research.