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 ...

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 ...

An innovative approach to solving a stubborn, but elementary, question in graph theory — the mathematical study of networks of nodes and their connections — may signal the first major theoretical ...

New results emerging from graph theory prove that the way a population is organized can guarantee the eventual triumph of natural selection — or permanently thwart it. Natural selection has been a ...

In the natural selection theory, not a large number of mutant individuals appear at once, the mutation that "happens to the surrounding environment" happened by chance will spread over time throughout ...

A long-standing mathematical conundrum has been solved by ChatGPT in a few hours, with only a few simple prompts. The Dinitz-Garg-Goemans conjecture is a 30-year-old question in graph theory, but a ...