Graph decomposition encompasses a suite of methods by which the edges of a graph are partitioned into subgraphs that satisfy prescribed properties or isomorphism classes. Central to this field are ...
Imagine 100 dots scattered in front of you. In a haphazard variation on connect-the-dots, start drawing lines between the points. How many lines can you draw without producing a triangle? A square? An ...
In 1950 Edward Nelson, then a student at the University of Chicago, asked the kind of deceptively simple question that can give mathematicians fits for decades. Imagine, he said, a graph — a ...