4 papers
A discrete model for surface configuration spaces
Nicholas Wawrykow
One of the primary methods of studying the topology of configurations of points in a graph and configurations of disks in a planar region has been to examine discrete combinatorial…
The sequential (distributional) topological complexity of the ordered configuration space of disks in a strip
Nicholas Wawrykow
How hard is it to program robots to move about a long narrow aisle while making a series of intermediate stops, provided only of the robots can fit across the width o…
The topological complexity of the ordered configuration space of disks in a strip
Nicholas Wawrykow
How hard is it to program robots to move about a long narrow aisle such that only of them can fit across the width of the aisle? In this paper, we answer that question by c…
Homology Generators and Relations for the Ordered Configuration Space of a Star Graph
Nicholas Wawrykow
We study the ordered configuration spaces of star graphs. Inspired by the representation stability results of Church--Ellenberg--Farb for the ordered configuration space of a manif…