The study of such graphs is called graph theory. Engineers need to find planarity in a graph when, for example, they are designing a computer chip without a crossed wire.

Math Notes is a feature that allows you to crunch numbers in certain apps on your iPhone, iPad, and Mac. You can use it for study, for work, or for personal use anywhere you need to do anything from ...

Long monochromatic paths in random graphs presented by Andrzej Dudek, Ph.D., Department of Mathematics, Western Michigan University. Abstract: Recall that the size-Ramsey number of F, r^(F, r), is the ...

The graph on the left is two stars of three vertices each, and the graph on the right is three stars of two vertices each. Even the graph with no edges can be thought of as six stars of one vertex ...