4 papers
Bridge indices of spatial graphs and diagram colorings
Sarah Blackwell, Puttipong Pongtanapaisan, Hanh Vo
We extend the Wirtinger number of links, an invariant originally defined by Blair, Kjuchukova, Velazquez, and Villanueva in terms of extending initial colorings of some strands of…
Estimating distances in simplicial complexes with applications to 3-manifolds and handlebody-knots
Sayantika Mondal, Puttipong Pongtanapaisan, Hanh Vo
We study distance relations in various simplicial complexes associated with low-dimensional manifolds. In particular, complexes satisfying certain topological conditions with verti…
Self-intersections of arcs on a pair of pants
Nhat Minh Doan, Hanh Vo
We investigate arcs on a pair of pants and present an algorithm to compute the self-intersection number of an arc. Additionally, we establish bounds for the self-intersection numbe…
Learning bridge numbers of knots
Hanh Vo, Puttipong Pongtanapaisan, Thieu Nguyen
This paper employs various computational techniques to determine the bridge numbers of both classical and virtual knots. For classical knots, there is no ambiguity of what the brid…