32 citations · 60 across the 12 of their papers we have counts for
Showing math.GTShow all
3 papers · 1 filter
math.GT2022★ 4 cited
On Cheeger constants of hyperbolic surfaces
Thomas Budzinski, Nicolas Curien, Bram Petri
It is a well-known result due to Bollobas that the maximal Cheeger constant of large -regular graphs cannot be close to the Cheeger constant of the -regular tree. We prove an…
math.GT2019★ 8 cited
The diameter of random Belyi surfaces
Thomas Budzinski, Nicolas Curien, Bram Petri
We determine the asymptotic growth rate of the diameter of the random hyperbolic surfaces constructed by Brooks and Makover. This model consists of a uniform gluing of hyperbo…
math.GT2019★ 10 cited
On the minimal diameter of closed hyperbolic surfaces
Thomas Budzinski, Nicolas Curien, Bram Petri
We prove that the minimal diameter of a hyperbolic compact orientable surface of genus is asymptotic to as . The proof relies on a random construction, w…