6 papers
Morphing Graphs on Hyperbolic Surfaces
Yanwen Luo, Yuan Luo
We propose the first algorithm to morph geometric graphs on hyperbolic surfaces. It is based on a generalization of Tutte's spring embedding theorem on essentially 3-vertex-connect…
A Rigidity Theorem for Convex Sets in Hyperbolic 3-Space
Feng Luo, Yanwen Luo, Zhenghao Rao
Pogorelov's rigidity theorem states that a compact convex body in the hyperbolic 3-space is determined up to isometry by the intrinsic path metric on its boundary. The main result…
Infinite rigidity of inversive distance circle packings in the Poincaré disk
Yanwen Luo, Xu Xu, Chao Zheng
The maximum principle for hyperbolic inversive distance circle packings on polyhedral surfaces is established,which unifies and generalizes existing maximum principles for various…
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…
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…
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…