2 citations · 3 across the 12 of their papers we have counts for
6 papers · 1 filter
Rigidity of infinite inversive distance circle packings in the plane
Yanwen Luo, Xu Xu, Siqi Zhang
In 2004, Bowers-Stephenson [2] introduced the inversive distance circle packings as a natural generalization of Thurston's circle packings. They further conjectured the rigidity of…
Maximal principles in discrete conformal geometry with application to the rigidity of infinite triangulations
Yanwen Luo, Xu Xu, Chao Zheng
In this paper, maximum principles for Euclidean and hyperbolic discrete conformal structures on polyhedral surfaces are established. These maximum principles unify and generalize t…
A note on graph drawings with star-shaped boundaries in the plane
Yanwen Luo
In this note, we propose a straightforward method to produce an straight-line embedding of a planar graph where one face of a graph is fixed in the plane as a star-shaped polygon.…
Spaces of Geodesic Triangulations Are Cells
Yanwen Luo, Zhenghao Rao, Tianqi Wu +1
It has been shown that spaces of geodesic triangulations of closed negatively curved surfaces are contractible. Here we prove that these spaces are homeomorphic to Euclidean spaces…
The convergence of inversive distance circle packings to the Riemann mapping
Yuxiang Chen, Yanwen Luo, Xu Xu
Bowers and Stephenson introduced the notion of inversive distance circle packings as a natural generalization of Thurston's circle packings. They further conjectured that discrete…
The Deformation Space of Delaunay Triangulations of the Sphere
Yanwen Luo, Tianqi Wu, Xiaoping Zhu
In this paper, we determine the topology of the spaces of convex polyhedra inscribed in the unit -sphere and the spaces of strictly Delaunay geodesic triangulations of the unit…