The graphs that mathematicians study can get very large and complicated, so it helps to have some simple features to look at. One such feature is the sum of all the degrees of a graph. Right away, ...

If you were to look at it, Holm says, a “good” embedding would be simple, unconvoluted. The standard example is the so-called Ladder Graph.

These graphs not only offer insights into the intrinsic algebraic properties of simple groups but also have applications in computational group theory, cryptography and network design.

Ecologists are familiar with two data structures commonly used to represent landscapes. Vector-based maps delineate land cover types as polygons, while raster lattices represent the landscape as a ...