7 citations · 27 across the 12 of their papers we have counts for
13 papers
Graph 4-braid groups and Massey products
Ki Hyoung Ko, Joon Hyun La, Hyo Won Park
We first show that the braid group over a graph topologically containing no -shape subgraph has a presentation related only by commutators. Then using discrete Morse theory and…
A family of pseudo-Anosov braids with large conjugacy invariant sets
Byung Hee An, Ki Hyoung Ko
We show that there is a family of pseudo-Anosov braids independently parameterized by the braid index and the (canonical) length whose smallest conjugacy invariant sets grow expone…
Characteristics of graph braid groups
Ki Hyoung Ko, Hyo Won Park
We give formulae for the first homology of the -braid group and the pure 2-braid group over a finite graph in terms of graph theoretic invariants. As immediate consequences, a g…
Graph braid groups and right-angled Artin groups
Jee Hyoun Kim, Ki Hyoung Ko, Hyo Won Park
We give a necessary and sufficient condition for a graph to have a right-angled Artin group as its braid group for braid index . In order to have the necessity part, graphs…
A family of representations of braid groups on surfaces
Byung Hee An, Ki Hyoung Ko
We propose a family of new representations of the braid groups on surfaces that extend linear representations of the braid groups on a disc such as the Burau representation and the…
A fast algorithm to the conjugacy problem on generic braids
Ki Hyoung Ko, Jang Won Lee
Random braids that are formed by multiplying randomly chosen permutation braids are studied by analyzing their behavior under Garside's weighted decomposition and cycling. Using th…