We all know that Excel can make some gorgeous charts and graphs, but if you are like 30 Rock's Liz Lemon and don't know your scatter plot from your triangle graph ("I don't know. It sounded real!"), ...

This is a preview. Log in through your library . Abstract Ajtai, Komlós, and Szemerédi proved that for sufficiently large t every triangle-free graph with n vertices and average degree t has an ...

For over a century, a simple yet tricky math problem had continued to baffle experts. Mathematicians struggled to find the fewest number of pieces needed to cut an equilateral triangle and rearrange ...

Triangle counting stands as a fundamental task in graph theory and network science, offering critical insights into the structural properties of complex systems. By enumerating all sets of three ...

Taiwanese Journal of Mathematics, Vol. 6, No. 2 (June 2002), pp. 261-267 (7 pages) Consider n disjoint triangles and a cycle on the 3n vertices of the n triangles. In 1986, Du, Hsu, and Hwang ...

About a decade ago Tonan Kamata, now a mathematician at the Japan Advanced Institute of Science and Technology (JAIST), stood mesmerized in front of a math museum’s origamilike exhibit. It featured a ...