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 ...

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 ...

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 ...