KALAMAZOO, Mich.—Western Michigan University's international reputation on the topic of graph theory is on display in a new book published recently by Princeton University Press. Graph theory, a ...

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 ...

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

Bootstrap percolation, a model of irreversible activation on graphs, has emerged as a pivotal area within graph theory and statistical mechanics. In this process, nodes (or vertices) on a network are ...

Researchers thought that they were five years away from solving a math riddle from the 1980's. In reality, and without knowing, they had nearly cracked the problem and had just given away much of the ...

Discrete mathematics gets easier when you know how to approach proofs. Direct reasoning, induction, and contradiction each have specific steps that can be learned and practiced. Pairing these methods ...

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 ...

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 ...

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, ...

In math, as in life, small choices can have big consequences. This is especially true in graph theory, a field that studies networks of objects and the connections between them. Here’s a little puzzle ...