An algebraic distance graph is defined to be a graph with vertices in E n in which two vertices are adjacent if and only if the distance between them is an algebraic number. It is proved that an ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. An amateur mathematician just partially solved a problem that has vexed mathematicians since 1950 ...

Problem: How many colors are needed so that if each point in the plane is assigned one of the colors, no two points which are exactly distance 1 apart will be assigned the same color? This problem has ...