4 citations · 5 across the 2 of their papers we have counts for
4 papers
On the structure of braid groups on complexes
Byung Hee An, Hyo Won Park
We consider the braid groups on finite simplicial complexes , which are generalizations of those on both manifolds and graphs that have been studied already by…
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…
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…