A universal exponent for homeomorphs

We prove a uniform bound on the topological Turán number of an arbitrary two-dimensional simplicial complex S: any two-dimensional complex on n vertices with at least CSn3−1/5 facets contains a homeomorph of S, where CS > 0 is a constant depending on S alone. This result, a two-dimensional analog...

Повний опис

Бібліографічні деталі
Автори: Keevash, P, Long, J, Narayanan, B, Scott, A
Формат: Journal article
Мова:English
Опубліковано: Springer 2021