Computing invariants of knotted graphs given by sequences of points in 3-dimensional space
(2017)
Conference Proceeding
Kurlin, V., Carr, H., Garth, C., & Weinkauf, T. (2017). Computing invariants of knotted graphs given by sequences of points in 3-dimensional space. In Topological methods in data analysis and visualization IV : theory, algorithms, and applications (349-363). https://doi.org/10.1007/978-3-319-44684-4_21
We design a fast algorithm for computing the fundamental group of the complement to any knotted polygonal graph in 3-space. A polygonal graph consists of straight segments and is given by sequences of vertices along edge-paths. This polygonal model i... Read More about Computing invariants of knotted graphs given by sequences of points in 3-dimensional space.