This allows for the definition of the anti-van derWaerden number of a graph, which is the least positive integer r such that every exact r-coloring of a graph contains a rainbow k-term arithmetic ...

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 ...

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.

From the drop-down menu in Math pane, select the option to Graph in 2D. You can play with the interactive graph of your equation—use a single finger to move the graph position or two fingers to ...

The picture above shows our game represented as a graph — a collection of points (called vertices) and segments between them (called edges). The dilemma you face exemplifies a simple but profound idea ...

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 ...

Graphing calculators became widely available in the 1980s and quickly became essential tools in calculus and trigonometry classes, replacing basic math machines and earlier versions of calculators.