Graph crossing numbers quantify the minimum number of edge intersections in any planar drawing of a graph, an essential parameter in both theoretical and applied graph theory. The study of crossing ...

Graphs are pictorial representations of numbers. Therefore, at the least, we should expect that the representation of the numbers be proportional to the numbers themselves. Unfortunately, this is not ...

A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections. “It’s a bit of a surprise, at least for me, that such a combination ...

With features like auto-summing, chart making and the ability to track numbers from multiple lists, budgets or accounts, Microsoft Excel has become an essential business tool. You can use it to keep ...

It has been an exhilarating year in combinatorics research. In early 2023, mathematicians were stunned when two of the biggest problems in the field were solved in as many months. Now, a third major ...

Mathematical research is generally thought to be a solitary pursuit. And some mathematicians do indeed spend their professional lives in lone contemplation of a single problem. The dramatic ...