F. Lazarus

activity

20112023

most citedComputing the Geometric Intersection Number of Curves

5 citations · 6 across the 6 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.CO2023

A linear bound for the Colin de Verdière parameter $μ$ for graphs embedded on surfaces

Camille Lanuel, Francis Lazarus, Rudi Pendavingh

We provide a combinatorial and self-contained proof that for all graphs $G$ embedded on a surface $S$ , the Colin de Verdière parameter $μ (G)$ is upper bounded by $7 - 2 χ (S)$ .

cs.CG2023

Algorithms for Length Spectra of Combinatorial Tori

Vincent Delecroix, Matthijs Ebbens, Francis Lazarus +1

Consider a weighted, undirected graph cellularly embedded on a topological surface. The function assigning to each free homotopy class of closed curves the length of a shortest cyc…

math.DG2023

The Hyperbolic Plane in $E^{3}$

Vincent Borrelli, Roland Denis, Francis Lazarus +2

We build an explicit $C^{1}$ isometric embedding $f_{\infty} : H^{2} \to E^{3}$ of the hyperbolic plane whose image is relatively compact. Its limit set is a closed curve o…

A linear bound for the Colin de Verdière parameter μ for graphs embedded on surfaces

Algorithms for Length Spectra of Combinatorial Tori

The Hyperbolic Plane in E3

A linear bound for the Colin de Verdière parameter $μ$ for graphs embedded on surfaces

The Hyperbolic Plane in $E^{3}$