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 ...

Discrete mathematics is about precision in reasoning as much as it is about solving problems. Proof techniques like induction, contradiction, and direct reasoning are used to establish results in ...

If you are interested in the real-world applications of numbers, discrete mathematics may be the concentration for you. Because discrete mathematics is the language of computing, it complements the ...

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 ...

Here’s a good, clear post by Mark Chu-Carroll, a software engineer at Google, on graph theory. It describes how Euler used it to solve a conundrum involving bridges in Königsberg. In a previous post, ...

Anti-Ramsey theory in graphs is a branch of combinatorial mathematics that examines the conditions under which a graph, when its edges are coloured, must necessarily contain a ‘rainbow’ subgraph – a ...

Mathematical truths are often born of the conflict between order and disorder. Mathematicians discover patterns, and, to better understand the mysterious forces at play, they look for countervailing ...

Terri Oda is a mathematician who now works in computer science. She is also female. Weird, right? When people told her women were biologically unsuited to math, she used to draw a graph for them on ...