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, ...

Depending on the underlying graph, you also need to handle cycles intelligently. In social networks, mutual relationships are ...

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a ...

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 ...

You scrambled up a Rubik's cube, and now you want to put it back in order. What sequence of moves should you make? Surprise: You can answer this question with modern algebra. Most folks who have been ...