7 citations · 25 across the 15 of their papers we have counts for
5 papers · 1 filter
Algorithms for Deforming and Contracting Simply Connected Discrete Closed Manifolds (II)
Li Chen
In an exploration paper, {\it L. Chen, Algorithms for Deforming and Contracting Simply Connected Discrete Closed Manifolds (I)}, we designed algorithms for deforming and contractin…
Algorithms for Deforming and Contracting Simply Connected Discrete Closed Manifolds (I)
Li Chen
In this exploration paper, we design algorithms for deforming and contracting a simply connected discrete closed manifold to a discrete sphere. Such a contraction is a kind of shri…
A Discrete Proof of The General Jordan-Schoenflies Theorem
Li Chen, Steven G. Krantz
In the early 1960s, Brown and Mazur proved the general Jordan-Schoenflies theorem. This fundamental theorem states: If we embed an sphere locally flatly in an $…
A Concise Proof of Discrete Jordan Curve Theorem
Li Chen
This paper gives a concise proof of the Jordan curve theorem on discrete surfaces. We also embed the discrete surface in the 2D plane to prove the original version of the Jordan cu…
A Note on the Discrete Jordan Curve Theorem (Revised)
Li Chen
According to a general definition of discrete curves, surfaces, and manifolds. This paper focuses on the Jordan curve theorem in 2D discrete spaces. The Jordan curve theorem says t…