Applications of Discrete Mathematics in the Real World

It's often said that mathematics is useful in solving a very wide variety of practical problems. {MathILy, MathILy-Er} focus on discrete mathematics, which, broadly conceived, underpins about half of pure mathematics and of operations research as well as all of computer science. As time goes on, more and more mathematics that is done, both in academia and in industry, is discrete. But what are the actual applications people talk about when they say discrete mathematics can be applied. What problems are being solved. This webpage attempts to address those questions. There are short descriptions, with links to longer explanations, of examples of discrete mathematics as applied to our everyday lives and as used in important and interesting research and corporate applications.