New presentations of a link and virtual link

What is a virtual link ?

Several authors have recently studied virtual knots and links because they admit invariants arising from R-matrices. We prove that every virtual link is uniquely represented by a link L ⊂ S×I in a thickened, compact, oriented surface S such that the link complement (S × I) \L has no essential vertical cylinder. AMS Classification 57M25; 57M27 57M15

A Link between Virtual and Physical Prototyping

This paper describes how a link between Virtual Reality and Rapid Prototyping was established at Clemson to enhance the designer’s understanding of manufacturing issues. It surveys the literature in the area of virtual reality and discusses some of the issues of translating an STL model into the appropriate format for Virtual Reality. The paper then speculates on the usefulness of such a tool f...

Hyperbolic Alternating Virtual Link Groups

We study the topology and geometry of virtual link complements and groups. We show that the groups defined by the Wirtinger presentation of certain prime dense alternating virtual links are CAT(0) and hyperbolic. MSC: 57M05, 57M50, 20F65, 20F67.

presenting a new method for link prediction in social networks

today, online social networks are very popular due to the possibility of creating relationships between people all over the world. these social networks with possibilities such as friend recommendation generally use local features derived from social graph structure. for friend recommendation, there are different algorithms with local and global approaches. in this paper, we proposed an algorit...

Graphs on surfaces and virtual link theory