5 citations · 5 across the 1 of their papers we have counts for
2 papers
math.AT2018★ 5 cited
Persistent Betti numbers of random Čech complexes
Ulrich Bauer, Florian Pausinger
We study the persistent homology of random Čech complexes. Generalizing a method of Penrose for studying random geometric graphs, we first describe an appropriate theoretical frame…
math.CO2016
Bounds for the traveling salesman paths of two-dimensional modular lattices
Florian Pausinger
We present tight upper and lower bounds for the traveling salesman path through the points of two-dimensional modular lattices. We use these results to bound the traveling salesman…