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, ...

This educational film teaches viewers how to construct mathematical line graphs to solve algebraic problems. It begins by reviewing statistical graphs and then explains the relationship between ...

For the longest time, graphing calculators have not changed in terms of design and function, as they all centered on solving algebra and other math problems that could take more time to solve on paper ...

SummaryIn this paper, we explore Mad Veterinarian scenarios. We show how these recreational puzzles naturally give rise to semigroups (which are sometimes groups), and we point out a beautiful, ...

A straight line can be drawn by joining two points plotted on a grid. The coordinates of the mid-point of the line and the length of the line can be calculated using the coordinate values. Before you ...

In 1980 Lusztig proved a stabilisation property of the affine Kazhdan-Lusztig polynomials. In this paper we give a categorical version of such a result using the theory of sheaves on moment graphs.

A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. The graph of \(f(x) = x^2\) is the same as the graph of \(y = x^2\).