Haavard Bakke Bjerkevik

activity

20212026

most citedFlipping Non-Crossing Spanning Trees

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.AT2026

Counting Barcodes with the same Betti Curve

Henry Ashley, Håvard Bakke Bjerkevik, Justin Curry +2

This paper considers an important inverse problem in topological data analysis (TDA): How many different barcodes produce the same Betti curve? Equivalently, given a function $β\co…

cs.CG2024★ 1 cited

Flipping Non-Crossing Spanning Trees

Håvard Bakke Bjerkevik, Linda Kleist, Torsten Ueckerdt +1

For a set $P$ of $n$ points in general position in the plane, the flip graph $F (P)$ has a vertex for each non-crossing spanning tree on $P$ and an edge between any two spanning tre…

cs.CG2021

Tighter Bounds for Reconstruction from $ε$ -samples

Håvard Bakke Bjerkevik

We show that reconstructing a curve in $R^{d}$ for $d \geq 2$ from a $0.66$ -sample is always possible using an algorithm similar to the classical NN-Crust algorithm. Previous…

math.AT2021

$ℓ^{p}$ -Distances on Multiparameter Persistence Modules

Håvard Bakke Bjerkevik, Michael Lesnick

Motivated both by theoretical and practical considerations in topological data analysis, we generalize the $p$ -Wasserstein distance on barcodes to multiparameter persistence module…

Counting Barcodes with the same Betti Curve

Flipping Non-Crossing Spanning Trees

Tighter Bounds for Reconstruction from ε-samples

ℓp-Distances on Multiparameter Persistence Modules

Tighter Bounds for Reconstruction from $ε$ -samples

$ℓ^{p}$ -Distances on Multiparameter Persistence Modules