@inproceedings{433, abstract = {A thrackle is a graph drawn in the plane so that every pair of its edges meet exactly once: either at a common end vertex or in a proper crossing. We prove that any thrackle of n vertices has at most 1.3984n edges. Quasi-thrackles are defined similarly, except that every pair of edges that do not share a vertex are allowed to cross an odd number of times. It is also shown that the maximum number of edges of a quasi-thrackle on n vertices is 3/2(n-1), and that this bound is best possible for infinitely many values of n.}, author = {Fulek, Radoslav and Pach, János}, location = {Boston, MA, United States}, pages = {160 -- 166}, publisher = {Springer}, title = {{Thrackles: An improved upper bound}}, doi = {10.1007/978-3-319-73915-1_14}, volume = {10692}, year = {2018}, }