2023/01/17 by Erica Flapan, Flapan, Erica, Hugh Howards +1
Computer Science · Mathematics · #Advanced Graph Theory Research #Computational Geometry and Mesh Generation #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2301.06933
Menasco proved the surprising result that if G is a reduced, alternating, connected projection of a link L and G is prime then L is prime. This result has been generalized to other classes of links, tangles, and spatial graphs. We draw attention to some issues with previous splitting results about tangles and spatial graphs, and obtain new more general results for tangles and spatial graphs.