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...

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Bibliographic Details
Main Authors: Keevash, P, Long, J, Narayanan, B, Scott, A
Format: Journal article
Language:English
Published: Springer 2021