10 citations · 12 across the 3 of their papers we have counts for
3 papers
math.GT2004
Stellar Braiding
Margaret I. Doig
We construct a one-dimensional deformation retract of the unordered k-point configuration space of a star S. This retract suggests an explicit set of free generators Beta_k for the…
math.CO2004★ 2 cited
Maximum run length in a toroidal grid graph
Margaret I. Doig
A toroidal grid graph is a Cartesian product of cycles, and the run length of a Hamiltonian cycle in a grid graph is defined to be the maximum number r such that any r consecutive…
math.GT2004★ 10 cited
Braid groups and right angled Artin groups
Frank Connolly, Margaret Doig
The n-string braid group of a graph X is defined as the fundamental group of the n-point configuration space of the space X. This configuration space is a finite dimensional aspher…